The figure shows triangle ABC with

This topic has expert replies
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

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

The figure shows triangle ABC with ∠A = 90. AH and BC are perpendicular to each other, BH = 8, and CH = 4. What is the length of AH?
2.28 ps.png
A. 4 \(\sqrt{2}\)
B. 5
C. 5 \(\sqrt{2}\)
D. 6
E. 6 \(\sqrt{2}\)
Source: — Problem Solving |

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
=>

Triangles ABH and CAH are similar.
We have AH : BH = CH : AH or x : 8 = 4 : x.
Then we have x^2 = 32 or x = 4√2.

Therefore, A is the answer.
Answer: A