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The figure shows triangle ABC with

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by Max@Math Revolution » Fri Feb 28, 2020 1:46 am

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A

B

C

D

E

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[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 \(\sqrt{2}\)
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Re: The figure shows triangle ABC with

by Max@Math Revolution » Mon Mar 02, 2020 1:10 am
=>

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
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