{"id":18781,"date":"2018-01-18T09:10:55","date_gmt":"2018-01-18T09:10:55","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=18781"},"modified":"2020-11-26T12:01:16","modified_gmt":"2020-11-26T06:31:16","slug":"math-labs-activity-pythagoras-theorem-method-2","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/","title":{"rendered":"Math Labs with Activity – Pythagoras’ theorem (Method 2)"},"content":{"rendered":"

Math Labs with Activity – Pythagoras theorem<\/a> (Method 2)<\/strong><\/span><\/h2>\n

OBJECTIVE<\/strong><\/span><\/p>\n

To verify Pythagoras’ theorem (Method 2)<\/p>\n

Materials Required<\/strong><\/span><\/p>\n

    \n
  1. A piece of cardboard<\/li>\n
  2. Two sheets of white paper<\/li>\n
  3. A pair of scissors<\/li>\n
  4. A geometry box<\/li>\n
  5. A tube of glue<\/li>\n<\/ol>\n

    Theory<\/strong> <\/span>
    \nPythagoras’ theorem:<\/strong> In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.<\/p>\n

    Procedure<\/strong> <\/span>
    \nStep 1:<\/strong>\u00a0Paste a sheet of white paper on the cardboard.
    \n” On this paper, draw a right-angled triangle ABC, right angled at C. Let the lengths of the sides AB, BC and CA be c, a and b units respectively (see Figure 10.1).
    \n\"Math
    \nStep 2:<\/strong> Make four exact copies of the right-angled \u0394ABC on the other sheet of paper. Also, construct a square with each side measuring c units.
    \nStep 3:<\/strong> Cut these four triangles and the square, arid arrange them as shown in Figure 10.2.
    \n\"Math<\/p>\n

    Observations and Calculations<\/strong><\/span>
    \nWe observe that by the combination of the square and the four triangles, a new square is formed which clearly has each side equal to (a+b) units. Then,
    \narea of the large square formed = area of the square with side c + 4 (area of \u0394ABC)
    \ni.e., (a+b)\u00b2 =c\u00b2 +4 (\u00bd x a x b)\u00a0 \u00a0 \u00a0[\u2234<\/strong>\u00a0area of \u0394ABC =\u00a0\u00bd (a x b)]
    \n=> (a\u00b2 + b\u00b2 + 2ab) =c\u00b2 + 2ab
    \n=> a\u00b2 + b\u00b2 =c\u00b2.
    \nSo, the square of the hypotenuse of right-angled \u0394ABC is equal to the sum of the squares of the other two sides.<\/p>\n

    Result<\/strong> <\/span>
    \nPythagoras’ theorem is verified.<\/p>\n

    Remarks:<\/strong>
    \nThis method is just a process of verification of Pythagoras’ theorem and cannot be used as a proof for the theorem.<\/p>\n

    Math Labs with Activity<\/a>Math Labs<\/a>Science Practical Skills<\/a>Science Labs<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

    Math Labs with Activity – Pythagoras theorem (Method 2) OBJECTIVE To verify Pythagoras’ theorem (Method 2) Materials Required A piece of cardboard Two sheets of white paper A pair of scissors A geometry box A tube of glue Theory Pythagoras’ theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6805],"tags":[],"yoast_head":"\nMath Labs with Activity - Pythagoras' theorem (Method 2) - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math Labs with Activity - Pythagoras' theorem (Method 2)\" \/>\n<meta property=\"og:description\" content=\"Math Labs with Activity – Pythagoras theorem (Method 2) OBJECTIVE To verify Pythagoras’ theorem (Method 2) Materials Required A piece of cardboard Two sheets of white paper A pair of scissors A geometry box A tube of glue Theory Pythagoras’ theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/\" \/>\n<meta property=\"og:site_name\" content=\"CBSE Library\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2018-01-18T09:10:55+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-11-26T06:31:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Pythagoras-theorem-Method-2-1.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/cbselibrary.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/cbselibrary.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/cbselibrary.com\/#website\",\"url\":\"https:\/\/cbselibrary.com\/\",\"name\":\"CBSE Library\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/cbselibrary.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Pythagoras-theorem-Method-2-1.png\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Pythagoras-theorem-Method-2-1.png\",\"width\":239,\"height\":146,\"caption\":\"Math Labs with Activity - Pythagoras' theorem (Method 2) 1\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#webpage\",\"url\":\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/\",\"name\":\"Math Labs with Activity - Pythagoras' theorem (Method 2) - CBSE Library\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#primaryimage\"},\"datePublished\":\"2018-01-18T09:10:55+00:00\",\"dateModified\":\"2020-11-26T06:31:16+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/cbselibrary.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Math Labs with Activity – Pythagoras’ theorem (Method 2)\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#webpage\"},\"author\":{\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794\"},\"headline\":\"Math Labs with Activity – Pythagoras’ theorem (Method 2)\",\"datePublished\":\"2018-01-18T09:10:55+00:00\",\"dateModified\":\"2020-11-26T06:31:16+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#webpage\"},\"wordCount\":281,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Pythagoras-theorem-Method-2-1.png\",\"articleSection\":[\"CBSE\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794\",\"name\":\"Prasanna\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"caption\":\"Prasanna\"},\"url\":\"https:\/\/cbselibrary.com\/author\/prasanna\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Math Labs with Activity - Pythagoras' theorem (Method 2) - CBSE Library","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/","og_locale":"en_US","og_type":"article","og_title":"Math Labs with Activity - Pythagoras' theorem (Method 2)","og_description":"Math Labs with Activity – Pythagoras theorem (Method 2) OBJECTIVE To verify Pythagoras’ theorem (Method 2) Materials Required A piece of cardboard Two sheets of white paper A pair of scissors A geometry box A tube of glue Theory Pythagoras’ theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum ... Read more","og_url":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/","og_site_name":"CBSE Library","article_publisher":"https:\/\/www.facebook.com\/aplustopper\/","article_published_time":"2018-01-18T09:10:55+00:00","article_modified_time":"2020-11-26T06:31:16+00:00","og_image":[{"url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Pythagoras-theorem-Method-2-1.png"}],"twitter_card":"summary","twitter_misc":{"Written by":"Prasanna","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/cbselibrary.com\/#organization","name":"Aplus Topper","url":"https:\/\/cbselibrary.com\/","sameAs":["https:\/\/www.facebook.com\/aplustopper\/"],"logo":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#logo","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","width":1585,"height":375,"caption":"Aplus Topper"},"image":{"@id":"https:\/\/cbselibrary.com\/#logo"}},{"@type":"WebSite","@id":"https:\/\/cbselibrary.com\/#website","url":"https:\/\/cbselibrary.com\/","name":"CBSE Library","description":"Improve your Grades","publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/cbselibrary.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#primaryimage","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Pythagoras-theorem-Method-2-1.png","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Pythagoras-theorem-Method-2-1.png","width":239,"height":146,"caption":"Math Labs with Activity - Pythagoras' theorem (Method 2) 1"},{"@type":"WebPage","@id":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#webpage","url":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/","name":"Math Labs with Activity - Pythagoras' theorem (Method 2) - CBSE Library","isPartOf":{"@id":"https:\/\/cbselibrary.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#primaryimage"},"datePublished":"2018-01-18T09:10:55+00:00","dateModified":"2020-11-26T06:31:16+00:00","breadcrumb":{"@id":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/cbselibrary.com\/"},{"@type":"ListItem","position":2,"name":"Math Labs with Activity – Pythagoras’ theorem (Method 2)"}]},{"@type":"Article","@id":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#article","isPartOf":{"@id":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#webpage"},"author":{"@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794"},"headline":"Math Labs with Activity – Pythagoras’ theorem (Method 2)","datePublished":"2018-01-18T09:10:55+00:00","dateModified":"2020-11-26T06:31:16+00:00","mainEntityOfPage":{"@id":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#webpage"},"wordCount":281,"commentCount":0,"publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"image":{"@id":"https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#primaryimage"},"thumbnailUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/01\/Math-Labs-with-Activity-Pythagoras-theorem-Method-2-1.png","articleSection":["CBSE"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/cbselibrary.com\/math-labs-activity-pythagoras-theorem-method-2\/#respond"]}]},{"@type":"Person","@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794","name":"Prasanna","image":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","caption":"Prasanna"},"url":"https:\/\/cbselibrary.com\/author\/prasanna\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/18781"}],"collection":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/comments?post=18781"}],"version-history":[{"count":0,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/18781\/revisions"}],"wp:attachment":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/media?parent=18781"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/categories?post=18781"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/tags?post=18781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}