{"id":23800,"date":"2021-10-03T20:32:01","date_gmt":"2021-10-03T15:02:01","guid":{"rendered":"https:\/\/python-programs.com\/?p=23800"},"modified":"2021-11-22T18:33:25","modified_gmt":"2021-11-22T13:03:25","slug":"python-program-for-maximum-area-of-quadrilateral","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-for-maximum-area-of-quadrilateral\/","title":{"rendered":"Python Program for Maximum Area of Quadrilateral"},"content":{"rendered":"<p>Given four sides of a quadrilateral, the task is to get the maximum area of the given quadrilateral for the given four sides in python.<\/p>\n<p><strong>Quadrilateral:<\/strong><\/p>\n<p>In geometry, a quadrilateral is a closed shape formed by joining four points, any three of which are non-collinear. A quadrilateral is made up of four sides, four angles, and four vertices. The term &#8216;quadrilateral&#8217; is derived from the Latin words &#8216;quadra&#8217; (four) and &#8216;Latus&#8217; (sides). A quadrilateral&#8217;s four sides may or may not be equal.<\/p>\n<blockquote><p><strong>Formula:<\/strong><\/p>\n<p>The formula to calculate the maximum area of the given quadrilateral is :<\/p>\n<p><img loading=\"lazy\" class=\"ql-img-inline-formula quicklatex-auto-format\" title=\"Rendered by QuickLaTeX.com\" src=\"https:\/\/tutorialspoint.dev\/image\/quicklatex.com-8275c31c9f16a035246be219d8b766a4_l3.png\" alt=\"K={sqrt {(s-a)(s-b)(s-c)(s-d)}}\" width=\"396\" height=\"33\" \/><\/p>\n<p>This is known as\u00a0 Brahmagupta&#8217;s Formula.<\/p>\n<p><strong>s=(a+b+c+d)\/2<\/strong><\/p>\n<p>where a, b, c, d are the four sides of a quadrilateral.<\/p><\/blockquote>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given first side = 2\r\nGiven second side = 1\r\nGiven third side =  3\r\nGiven fourth side =  4<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The maximimum area of quadrilateral for the given four sides { 2 , 1 , 3 , 4 } =  4.898979485566356<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given first side = 5\r\nGiven second side = 3\r\nGiven third side = 5\r\nGiven fourth side = 2<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The maximimum area of quadrilateral for the given four sides { 5 , 3 , 5 , 2 } =  12.43734296383275<\/pre>\n<h2>Program for Maximum Area of Quadrilateral in Python<\/h2>\n<p>Below are the ways to get the maximum area of the given quadrilateral for the given four sides in python:<\/p>\n<ul>\n<li><a href=\"#Using_Mathematical_Formula_(Static_Input)\">Using Mathematical Formula (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Mathematical_Formula_(User_Input)\">Using Mathematical Formula (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_Mathematical_Formula_(Static_Input)\">Method #1: Using Mathematical Formula (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import math module using the import keyword.<\/li>\n<li>Give the first side as static input and store it in a variable.<\/li>\n<li>Give the second side as static input and store it in another variable.<\/li>\n<li>Give the third side as static input and store it in another variable.<\/li>\n<li>Give the fourth side as static input and store it in another variable.<\/li>\n<li>Calculate the s value using the above given mathematical formula and\u00a0store it in another variable.<\/li>\n<li>Calculate the maximum area of the given quadrilateral using the above given mathematical formula, math.sqrt() function and store it in another variable.<\/li>\n<li>Print the maximum area of the given quadrilateral.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import math module using the import keyword.\r\nimport math\r\n# Give the first side as static input and store it in a variable.\r\np = 2\r\n# Give the second side as static input and store it in another variable.\r\nq = 1\r\n# Give the third side as static input and store it in another variable.\r\nr = 3\r\n# Give the fourth side as static input and store it in another variable.\r\ns = 4\r\n# Calculate the s value using the above given mathematical formula and\u00a0\r\n# store it in another variable.\r\ns_valu = (p + q + r + s) \/ 2\r\n# Calculate the maximum area of the given quadrilateral using the above\r\n# given mathematical formula, math.sqrt() function and store it in another variable.\r\nquadriltrlmax_area = math.sqrt(\r\n    (s_valu - p) * (s_valu - q) * (s_valu - r) * (s_valu - s))\r\n# Print the maximum area of the given quadrilateral.\r\nprint(\r\n    \"The maximimum area of quadrilateral for the given four sides {\", p, \",\", q, \",\", r, \",\", s, \"} = \", quadriltrlmax_area)\r\n<\/pre>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\"># include &lt;iostream&gt;\r\n# include&lt;cmath&gt;\r\nusing namespace std\r\n\r\nint main() {\r\n    int p = 2\r\n    int q = 1\r\n    int r = 3\r\n    int s = 4\r\n    int s_valu = (p + q + r + s) \/ 2\r\n    double quadriltrlMaxArea = sqrt((s_valu - p) * (s_valu - q) * (s_valu - r) * (s_valu - s))\r\n    cout &lt;&lt; \"The maximimum area of quadrilateral for the given four sides {\" &lt;&lt; p &lt;&lt; \",\" &lt;&lt; q &lt;&lt; \",\" &lt;&lt; r &lt;&lt; \",\" &lt;&lt; s &lt;&lt; \"} = \" &lt;&lt; quadriltrlMaxArea &lt;&lt; endl\r\n    return 0\r\n}\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The maximimum area of quadrilateral for the given four sides { 2 , 1 , 3 , 4 } =  4.898979485566356<\/pre>\n<h3 id=\"Using_Mathematical_Formula_(User_Input)\">Method #2: Using Mathematical Formula (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import math module using the import keyword.<\/li>\n<li>Give the first side as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Give the second side as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Give the third side as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Give the fourth side as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Calculate the s value using the above given mathematical formula and\u00a0store it in another variable.<\/li>\n<li>Calculate the maximum area of the given quadrilateral using the above given mathematical formula, math.sqrt() function and store it in another variable.<\/li>\n<li>Print the maximum area of the given quadrilateral.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import math module using the import keyword.\r\nimport math\r\n# Give the first side as user input using the int(input()) function and store it in a variable.\r\np = int(input(\"Enter some random number = \"))\r\n# Give the second side as user input using the int(input()) function and store it in another variable.\r\nq = int(input(\"Enter some random number = \"))\r\n# Give the third side as user input using the int(input()) function and store it in another variable.\r\nr = int(input(\"Enter some random number = \"))\r\n# Give the fourth side as user input using the int(input()) function and store it in another variable.\r\ns = int(input(\"Enter some random number = \"))\r\n# Calculate the s value using the above given mathematical formula and\u00a0\r\n# store it in another variable.\r\ns_valu = (p + q + r + s) \/ 2\r\n# Calculate the maximum area of the given quadrilateral using the above\r\n# given mathematical formula, math.sqrt() function and store it in another variable.\r\nquadriltrlmax_area = math.sqrt(\r\n    (s_valu - p) * (s_valu - q) * (s_valu - r) * (s_valu - s))\r\n# Print the maximum area of the given quadrilateral.\r\nprint(\r\n    \"The maximimum area of quadrilateral for the given four sides {\", p, \",\", q, \",\", r, \",\", s, \"} = \", quadriltrlmax_area)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 5\r\nEnter some random number = 3\r\nEnter some random number = 5\r\nEnter some random number = 2\r\nThe maximimum area of quadrilateral for the given four sides { 5 , 3 , 5 , 2 } = 12.43734296383275<\/pre>\n<p style=\"text-align: right;\"><strong>Output:<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given four sides of a quadrilateral, the task is to get the maximum area of the given quadrilateral for the given four sides in python. Quadrilateral: In geometry, a quadrilateral is a closed shape formed by joining four points, any three of which are non-collinear. A quadrilateral is made up of four sides, four angles, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-for-maximum-area-of-quadrilateral\/\"> <span class=\"screen-reader-text\">Python Program for Maximum Area of Quadrilateral<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":23822,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program for Maximum Area of Quadrilateral - Python Programs<\/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:\/\/python-programs.com\/python-program-for-maximum-area-of-quadrilateral\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program for Maximum Area of Quadrilateral - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Given four sides of a quadrilateral, the task is to get the maximum area of the given quadrilateral for the given four sides in python. 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Quadrilateral: In geometry, a quadrilateral is a closed shape formed by joining four points, any three of which are non-collinear. 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