Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians

+1 vote
21 views
asked Feb 3, 2018 in Mathematics by Kundan kumar (49,132 points) 34 383 1024

Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians

1 Answer

+1 vote
answered Feb 3, 2018 by Vikash Kumar (144,729 points) 8 11 21
edited Feb 4, 2018 by Vikash Kumar
 
Best answer

Let ΔABC and ΔPQR be two similar triangles. AD and PM are the medians of ΔABC and ΔPQR respectively.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

...