{"id":1345,"date":"2016-06-21T09:43:06","date_gmt":"2016-06-21T09:43:06","guid":{"rendered":"http:\/\/www.testingdocs.com\/questions\/?p=1345"},"modified":"2021-03-21T10:00:52","modified_gmt":"2021-03-21T10:00:52","slug":"calculate-third-side-of-triangle-puzzle","status":"publish","type":"post","link":"https:\/\/www.testingdocs.com\/questions\/calculate-third-side-of-triangle-puzzle\/","title":{"rendered":"Calculate Third side of Triangle puzzle?"},"content":{"rendered":"

Given two sides with length 7 cm and 9 cm and angle between them is 25 degrees. Calculate the third side length of the triangle.<\/p>\n

Solution:<\/strong><\/h3>\n

\"Triangle<\/p>\n

Mathematical proof:<\/strong><\/h3>\n

Based on the data given , you can calculate the height of the triangle as shown in the above figure.<\/p>\n

\"\\LARGE<\/p>\n

 <\/p>\n

b side can be split into acos\u03b8 and b- acos\u03b8<\/p>\n

\"\\LARGE<\/p>\n

 <\/p>\n

Applying law of right angled triangle<\/p>\n

\"\\LARGE<\/p>\n

 <\/p>\n

 <\/p>\n

Expanding the terms we get:<\/p>\n

\"\\LARGE<\/p>\n

 <\/p>\n

\"\\LARGE<\/p>\n

 <\/p>\n

Replace the terms, we get:<\/p>\n

\"\\LARGE<\/p>\n

 <\/p>\n

Java Program<\/strong><\/h3>\n
package com.testingdocs.examples;\r\n\r\npublic class TriangleThirdSide {\r\n double a;\r\n double b;\r\n double angle;\r\n\r\npublic TriangleThirdSide(double a, double b, double angle) {\r\n this.a=a;\r\n this.b=b;\r\n this.angle=angle * Math.PI \/180;\r\n }\r\n\r\npublic double findC() {\r\n return Math.sqrt( a*a + b*b - (2*a*b* Math.cos(angle)));\r\n\r\n}\r\n\r\npublic static void main(String[] args) {\r\n TriangleThirdSide triangle= new TriangleThirdSide(7.0,9.0,25.0);\r\n double c = triangle.findC();\r\n System.out.println(\"Third side of the Triangle = \"+ String.format( \"%.2f\", c ) + \" cm\");\r\n }\r\n\r\n}\r\n<\/pre>\n
 <\/p>\n
Answer:<\/p>\n
Third side of the Triangle = 3.98 cm<\/p>\n
 <\/p>\n
public TriangleThirdSide(double a, double b, double angle) {\r\n this.a=a;\r\n this.b=b;\r\n this.angle=angle * Math.PI \/180; \r\n}<\/pre>\n
 <\/p>\n
The class constructor takes the values of known sides a , b and the angle between the sides i.e \u03b8 . We can create a new Triangle using the new operator as shown below:<\/p>\n
Example : new TriangleThirdSide(7.0,9.0,25.0);<\/p>\n
Method findC() calculates the third side using the mathematical proof and the formula shown above.<\/p>\n\n
\n    <\/div>\n\n","protected":false},"excerpt":{"rendered":"
Given two sides with length 7 cm and 9 cm and angle between them is 25 degrees. Calculate the third side length of the triangle. Solution: Mathematical proof: Based on the data given , you can calculate the height of the triangle as shown in the above figure.   b side can be split into […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1345","post","type-post","status-publish","format-standard","hentry","category-automation","has-post-title","has-post-date","has-post-category","has-post-tag","has-post-comment","has-post-author",""],"_links":{"self":[{"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/posts\/1345","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/comments?post=1345"}],"version-history":[{"count":2,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/posts\/1345\/revisions"}],"predecessor-version":[{"id":19850,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/posts\/1345\/revisions\/19850"}],"wp:attachment":[{"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/media?parent=1345"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/categories?post=1345"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.testingdocs.com\/questions\/wp-json\/wp\/v2\/tags?post=1345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}