Triangles \(ABC\) and \(DEF\) are similar right triangles. If the hypotenuse of triangle \(DEF\) has a length of \(20,\)

This topic has expert replies
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Triangles \(ABC\) and \(DEF\) are similar right triangles. If the hypotenuse of triangle \(DEF\) has a length of \(20,\) what is the length of the hypotenuse of triangle \(ABC?\)

(1) The ratio of the perimeter of \(ABC\) to the area of \(ABC\) is the reciprocal of the ratio of the perimeter of \(DEF\) to the area of \(DEF.\)
(2) One of the legs in triangle \(DEF\) has a length of \(12.\)

Answer: C

Source: Manhattan GMAT