Target Test Prep 20% Off Flash Sale is on! Code: FLASH20

Redeem
Target Test Prep
5-Day Free Trial
5-day free, full-access trial TTP

Available with Beat the GMAT members only code

MORE DETAILS
Target Test Prep
Magoosh
Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh

A right triangle has hypotenuse 10. If its perimeter is 25,

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

A right triangle has hypotenuse 10. If its perimeter is 25,

by Max@Math Revolution » Tue Apr 02, 2019 6:56 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

A right triangle has hypotenuse 10. If its perimeter is 25, what is its area?

A. 125/4
B. 125/2
C. 125
D. 225/4
E. 225/2
Top
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

by Max@Math Revolution » Wed Apr 03, 2019 11:29 pm
=>

Let a and b be the legs of the right triangle.
Since the hypotenuse is 10, a^2+b^2=100.
Since the triangle's perimeter is 25, we have a + b + 10 = 25 and a + b = 15.
Recall that (a+b)^2 = a^2 + 2ab + b^2.
2ab = (a+b)^2 - (a^2+b^2) = 225 - 100 = 125.
Thus, the area of the triangle is (1/2)ab = 125 / 4.

Therefore, A is the answer.
Answer: A
Top
Post new topic Post Reply
• Page 1 of 1