{"id":22850,"date":"2021-09-29T20:13:21","date_gmt":"2021-09-29T14:43:21","guid":{"rendered":"https:\/\/python-programs.com\/?p=22850"},"modified":"2021-11-22T18:35:37","modified_gmt":"2021-11-22T13:05:37","slug":"python-program-for-maximum-number-of-squares-that-can-fit-in-a-right-angle-isosceles-triangle","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-for-maximum-number-of-squares-that-can-fit-in-a-right-angle-isosceles-triangle\/","title":{"rendered":"Python Program for Maximum Number of Squares that Can Fit in a Right Angle Isosceles Triangle"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-for-minimum-height-of-a-triangle-with-given-base-and-area\/\">Python Program for Minimum Height of a Triangle with Given Base and Area<\/a><br \/>\nGiven the base <strong>b<\/strong> of an isosceles triangle and a value <strong>m<\/strong>, the task is to find the count of the maximum number of squares of side length <strong>m<\/strong> that can be fitted inside the given isosceles triangle.<\/p>\n<p><strong>Formula:<\/strong><\/p>\n<p><strong>(b \/ m \u2013 1) * (b \/ m) \/ 2<\/strong><\/p>\n<p>where b is the base of an isosceles triangle.<\/p>\n<p>m is the sidelength of the square.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given base of triangle = 8\r\nGiven side of square = 3<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The maximum number of squares with given sidelength that can be fitted inside the isosceles triangle = \r\n2<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given base of triangle = 5\r\nGiven side of square =  2<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The maximum number of squares with given sidelength that can be fitted inside the isosceles triangle = \r\n1<\/pre>\n<h2>Program for Maximum Number of Squares that Can Fit in a Right Angle Isosceles Triangle in Python<\/h2>\n<p>Below are the ways to find the count of the maximum number of squares of side length <strong>m<\/strong> that can be fitted inside the given isosceles triangle.<\/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_For_Loop_(Static_Input)\">Method #1: Using Mathematical Formula (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the base of the triangle as static input and store it in a variable.<\/li>\n<li>Give the side of the square as static input and store it in another variable.<\/li>\n<li>Create a function to say <strong>count_maximumsqures()<\/strong> which takes the given base of the isosceles triangle and side of the square as the arguments and returns the count of the maximum number of squares of the given sidelength required that can be fitted inside the given isosceles triangle.<\/li>\n<li>Inside the function, calculate the count of the maximum number of squares using the above mathematical formula and store it in a variable.<\/li>\n<li>Return the above count value.<\/li>\n<li>Pass the given base of the isosceles triangle and side of the square as the arguments to the <strong>count_maximumsqures<\/strong><strong>() <\/strong>function, convert it into Integer using int() function, and print it.<\/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\"># Create a function to say count_maximumsqures() which takes the given base of the\r\n# isosceles triangle and side of the square as the arguments and returns the\r\n# count of the maximum number of squares of the given sidelength required that\r\n# can be fitted inside the given isosceles triangle.\r\n\r\n\r\ndef count_maximumsqures(gvn_base, squre_side):\r\n    # Inside the function, calculate the count of the maximum number of squares using the\r\n    # above mathematical formula and store it in a variable.\r\n    cnt = (gvn_base \/ squre_side - 1) * (gvn_base \/ squre_side) \/ 2\r\n    # Return the above count value.\r\n    return cnt\r\n\r\n\r\n# Give the base of the triangle as static input and store it in a variable.\r\ngvn_base = 8\r\n# Give the side of the square as static input and store it in another variable.\r\nsqure_side = 3\r\nprint(\"The maximum number of squares with given sidelength that can be fitted inside the isosceles triangle = \")\r\n# Pass the given base of the isosceles triangle and side of the square as the arguments\r\n# to the count_maximumsqures() function, convert it into Integer using int()\r\n# function, and print it.\r\nprint(int(count_maximumsqures(gvn_base, squre_side)))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The maximum number of squares with given sidelength that can be fitted inside the isosceles triangle = \r\n2<\/pre>\n<h3 id=\"Using_For_loop_(User_Input)\">Method #2: Using Mathematical Formula (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the base of the triangle as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Give the side of the square as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Create a function to say <strong>count_maximumsqures()<\/strong> which takes the given base of the isosceles triangle and side of the square as the arguments and returns the count of the maximum number of squares of the given sidelength required that can be fitted inside the given isosceles triangle.<\/li>\n<li>Inside the function, calculate the count of the maximum number of squares using the above mathematical formula and store it in a variable.<\/li>\n<li>Return the above count value.<\/li>\n<li>Pass the given base of the isosceles triangle and side of the square as the arguments to the <strong>count_maximumsqures<\/strong><strong>() <\/strong>function, convert it into Integer using int() function, and print it.<\/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\"># Create a function to say count_maximumsqures() which takes the given base of the\r\n# isosceles triangle and side of the square as the arguments and returns the\r\n# count of the maximum number of squares of the given sidelength required that\r\n# can be fitted inside the given isosceles triangle.\r\n\r\n\r\ndef count_maximumsqures(gvn_base, squre_side):\r\n    # Inside the function, calculate the count of the maximum number of squares using the\r\n    # above mathematical formula and store it in a variable.\r\n    cnt = (gvn_base \/ squre_side - 1) * (gvn_base \/ squre_side) \/ 2\r\n    # Return the above count value.\r\n    return cnt\r\n\r\n\r\n# Give the base of the triangle as user input using the int(input()) function\r\n# and store it in a variable.\r\ngvn_base =  int(input(\"Enter some random number = \"))\r\n# Give the side of the square as user input using the int(input()) function and \r\n# store it in another variable.\r\nsqure_side =  int(input(\"Enter some random number = \"))\r\nprint(\"The maximum number of squares with given sidelength that can be fitted inside the isosceles triangle = \")\r\n# Pass the given base of the isosceles triangle and side of the square as the arguments\r\n# to the count_maximumsqures() function, convert it into Integer using int()\r\n# function, and print it.\r\nprint(int(count_maximumsqures(gvn_base, squre_side)))\r\n\r\n\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 5\r\nEnter some random number = 2\r\nThe maximum number of squares with given sidelength that can be fitted inside the isosceles triangle = \r\n1<\/pre>\n<p>Explore more <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Example Python Programs<\/a> with output and explanation and practice them for your interviews, assignments and stand out from the rest of the crowd.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-area-and-perimeter-of-equilateral-triangle\/\">Python Program to Calculate Area and Perimeter of Equilateral Triangle<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-volume-of-dodecahedron\/\">Python Program to Calculate Volume of Dodecahedron<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-volume-and-surface-area-of-hemisphere\/\">Python Program to Calculate Volume and Surface Area of Hemisphere<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-for-minimum-height-of-a-triangle-with-given-base-and-area\/\">Python Program for Minimum Height of a Triangle with Given Base and Area<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program for Minimum Height of a Triangle with Given Base and Area Given the base b of an isosceles triangle and a value m, the task is to find the count of the maximum number of squares of side length m that can be fitted inside the &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-for-maximum-number-of-squares-that-can-fit-in-a-right-angle-isosceles-triangle\/\"> <span class=\"screen-reader-text\">Python Program for Maximum Number of Squares that Can Fit in a Right Angle Isosceles Triangle<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":23017,"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 Number of Squares that Can Fit in a Right Angle Isosceles Triangle - 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-number-of-squares-that-can-fit-in-a-right-angle-isosceles-triangle\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" 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