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# In the figure above, what is the length of AB?

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
In the figure above, what is the length of AB?  [#permalink]

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08 Aug 2017, 10:17
00:00

Difficulty:

25% (medium)

Question Stats:

86% (00:46) correct 14% (00:33) wrong based on 49 sessions

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In the figure above, what is the length of AB?

(A) 5
(B) 7
(C) 2√7
(D) 4√2
(E) 10

Attachment:

2017-08-08_2111_001.png [ 3.96 KiB | Viewed 2866 times ]

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Re: In the figure above, what is the length of AB?  [#permalink]

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08 Aug 2017, 11:27

In both the right angled triangles, $$Hyp^2 = Side1^2 + Side2^2$$

Let the unknown side in both the triangles be x.
Since both the triangles are right angled,

By Pythagoras theorem
4^2 = 3^2 + x^2
x^2 = 16 - 9
x = √7

Since AB = 2x, AB = 2√7(Option C)
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Re: In the figure above, what is the length of AB?   [#permalink] 08 Aug 2017, 11:27
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