{"id":12570,"date":"2021-09-30T11:30:51","date_gmt":"2021-09-30T06:00:51","guid":{"rendered":"https:\/\/python-programs.com\/?p=12570"},"modified":"2021-11-22T18:35:28","modified_gmt":"2021-11-22T13:05:28","slug":"python-program-to-calculate-area-of-any-triangle-using-its-coordinates","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-calculate-area-of-any-triangle-using-its-coordinates\/","title":{"rendered":"Python Program to Calculate Area of any Triangle using its Coordinates"},"content":{"rendered":"<p>Enhancing programming skills is very important no matter what language you have chosen. So, practice frequently with these <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">simple java programs<\/a> examples and excel in coding the complex logic.<\/p>\n<p>GIven three coordinates of a triangle the task is to find the area of the given Triangle in Python.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>x coordinate of the first point = 6\r\ny coordinate of the first point = 2\r\nx coordinate of the second point = 9\r\ny coordinate of the first point = 11\r\nx coordinate of the third point = 5\r\ny coordinate of the first point = 17<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The Area of the triangle with the given coordinates \u00a0(6,2) (9,11) (5,17) = 27.0<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>x coordinate of the first point = 3\r\ny coordinate of the first point = 7\r\nx coordinate of the second point = 2\r\ny coordinate of the first point = 11\r\nx coordinate of the third point = 9\r\ny coordinate of the first point = 7<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The Area of the triangle with the given cordinates (3,7) (2,11) (9,7) = 12.0<\/pre>\n<h2>Program to Calculate Area of any Triangle using its Coordinates in<\/h2>\n<h2>Python<\/h2>\n<p>Below are the ways to calculate to find the area of the given Triangle 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<p>Let&#8217;s look for the formula before we start coding in Python.<\/p>\n<p>Let the coordinates of a triangle be A(x1, y1), B(x2, y2), and C(x3, y3). Using the Mathematical formula, we can compute the area of triangle ABC.<\/p>\n<blockquote><p><strong>Area of Triangle = |(1\/2)*(x1*(y2-y3)+x2*(y3-y1)+x3*(y1-y2))|<\/strong><\/p><\/blockquote>\n<p>Calculating the Area without considering the modulus may result in a negative value. We only take the magnitude by applying modulus to the expression because Area cannot be negative.<\/p>\n<p>In the program, we utilize the abs() method to get the absolute value or magnitude.<\/p>\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>Give the 3 coordinates as static input and store them in 6 separate variables.<\/li>\n<li>Apply the given mathematical formula for the above coordinates.<\/li>\n<li>Calculate the absolute value of the area of the triangle using the abs() function.<\/li>\n<li>If the value of Area is zero, we can state that the input coordinates cannot be used to build a triangle.<\/li>\n<li>Check whether the given area of the triangle is 0 using the If statement.<\/li>\n<li>If it is true then the print Triangle cannot be formed using the given coordinates.<\/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\"># Give the 3 coordinates as static input and store them in 6 separate variables.\r\nxcor1 = 3\r\nycor1 = 7\r\nxcor2 = 2\r\nycor2 = 11\r\nxcor3 = 9\r\nycor3 = 7\r\n# Apply the given mathematical formula for the above coordinates.\r\n# Calculate the absolute value of the area of the triangle using the abs() function.\r\nTriangleArea = abs((0.5)*(xcor1*(ycor2-ycor3)+xcor2 *\r\n                          (ycor3-ycor1)+xcor3*(ycor1-ycor2)))\r\n# Check whether the given area of the triangle is 0 using the If statement.\r\n# If it is true then the print Triangle cannot be formed using the given coordinates.\r\nif (TriangleArea == 0):\r\n    print(\"Triangle cannot be formed using the given coordinates \")\r\nprint('The Area of the triangle with the given coordinates ('+str(xcor1)+','+str(ycor1) +\r\n      ')' + ' ('+str(xcor2)+','+str(ycor2)+')' + ' ('+str(xcor3)+','+str(ycor3)+')', '=', TriangleArea)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The Area of the triangle with the given cordinates (3,7) (2,11) (9,7) = 12.0<\/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>Give the 3 coordinates as user input using map(),int(),split() functions.<\/li>\n<li>Store them in 6 separate variables.<\/li>\n<li>Apply the given mathematical formula for the above coordinates.<\/li>\n<li>Calculate the absolute value of the area of the triangle using the abs() function.<\/li>\n<li>If the value of Area is zero, we can state that the input coordinates cannot be used to build a triangle.<\/li>\n<li>Check whether the given area of the triangle is 0 using the If statement.<\/li>\n<li>If it is true then the print Triangle cannot be formed using the given coordinates.<\/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\"># Give the 3 coordinates as user input using map(),int(),split() functions.\r\n# Store them in 6 separate variables.\r\nxcor1 = int(input('Enter some random x coordinate of the first point = '))\r\nycor1 = int(input('Enter some random y coordinate of the first point = '))\r\nxcor2 = int(input('Enter some random x coordinate of the second point = '))\r\nycor2 = int(input('Enter some random y coordinate of the first point = '))\r\nxcor3 = int(input('Enter some random x coordinate of the third point = '))\r\nycor3 = int(input('Enter some random y coordinate of the first point = '))\r\n# Apply the given mathematical formula for the above coordinates.\r\n# Calculate the absolute value of the area of the triangle using the abs() function.\r\nTriangleArea = abs((0.5)*(xcor1*(ycor2-ycor3)+xcor2 *\r\n                          (ycor3-ycor1)+xcor3*(ycor1-ycor2)))\r\n# Check whether the given area of the triangle is 0 using the If statement.\r\n# If it is true then the print Triangle cannot be formed using the given coordinates.\r\nif (TriangleArea == 0):\r\n    print(\"Triangle cannot be formed using the given coordinates\")\r\nprint('The Area of the triangle with the given coordinates\u00a0\u00a0('+str(xcor1)+','+str(ycor1) +\r\n      ')' + ' ('+str(xcor2)+','+str(ycor2)+')' + ' ('+str(xcor3)+','+str(ycor3)+')', '=', TriangleArea)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random x coordinate of the first point = 6\r\nEnter some random y coordinate of the first point = 2\r\nEnter some random x coordinate of the second point = 9\r\nEnter some random y coordinate of the first point = 11\r\nEnter some random x coordinate of the third point = 5\r\nEnter some random y coordinate of the first point = 17\r\nThe Area of the triangle with the given coordinates \u00a0(6,2) (9,11) (5,17) = 27.0<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/c-program-to-calculate-area-of-any-triangle-using-herons-formula\/\">c program to calculate area of any triangle using herons formula<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-the-area-semi-perimeter-and-perimeter-of-a-triangle\/\">python program to calculate the area semi perimeter and perimeter of a triangle<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-area-of-a-rectangle-using-classes\/\">python program to find the area of a rectangle using classes<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-the-length-of-a-string-without-using-a-library-function\/\">python program to calculate the length of a string without using a library function<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-sum-of-nth-power-using-recursion\/\">python program to calculate sum of nth power using recursion<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/c-program-to-calculate-area-of-a-right-angled-triangle\/\">c program to calculate area of a right angled triangle<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/c-program-to-calculate-area-of-an-equilateral-triangle\/\">c program to calculate area of an equilateral triangle<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Enhancing programming skills is very important no matter what language you have chosen. So, practice frequently with these simple java programs examples and excel in coding the complex logic. GIven three coordinates of a triangle the task is to find the area of the given Triangle in Python. Examples: Example1: Input: x coordinate of the &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-calculate-area-of-any-triangle-using-its-coordinates\/\"> <span class=\"screen-reader-text\">Python Program to Calculate Area of any Triangle using its Coordinates<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":12630,"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 to Calculate Area of any Triangle using its Coordinates - 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-to-calculate-area-of-any-triangle-using-its-coordinates\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Calculate Area of any Triangle using its Coordinates - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Enhancing programming skills is very important no matter what language you have chosen. 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So, practice frequently with these simple java programs examples and excel in coding the complex logic. GIven three coordinates of a triangle the task is to find the area of the given Triangle in Python. 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