BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

The figure shows a quadrangle ABCD with

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

The figure shows a quadrangle ABCD with

by Max@Math Revolution » Mon May 04, 2020 6:00 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

The figure shows a quadrangle ABCD with ∠ADC = 90, ∠DCB = 90 and AD = 6, AB = 8 and BC = 10. What is the length BD?
5.4ps.png
A. 2 \(\sqrt{37}\)
B. 10
C. 3 \(\sqrt{39}\)
D. 14
E. 5 \(\sqrt{41}\)
Top
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

Re: The figure shows a quadrangle ABCD with

by Max@Math Revolution » Wed May 06, 2020 12:13 am
=>
5.4PS(A).png
From the above figure, since we have EC = 6, we have BE = 4. Then we use Pythagorean Theorem to solve for AE, giving us AE = \(\sqrt{8^2-4^2}=\sqrt{64-16}=\sqrt{48}=4\sqrt{3}\) and AE = DC = 4√3.
Thus, we have x = \(\sqrt{10^2+\left(4\sqrt{3}\right)^2}=\sqrt{100+48}=2\sqrt{37}\)

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