Sarthaks Test
0 votes
5.1k views
in Mathematics by (35.6k points)

ABC is a triangle and through A, B, C lines are drawn parallel to BC, CA and AB respectively intersecting at P, Q and R. Prove that the perimeter of ∆PQR is double the perimeter of ∆ABC.

1 Answer

0 votes
by (61.7k points)
selected by
 
Best answer

Clearly ABCQ and ARBC are parallelograms. 

BC = AQ and BC = AR 

AQ = AR 

A is the midpoint of QR . 

Similarly B and C are the midpoints of PR and PQ respectively.

Related questions

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.

Categories

...