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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: 43335

Kudos [?]: 139535 [0], given: 12794

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

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08 Aug 2017, 09:17
00:00

Difficulty:

15% (low)

Question Stats:

78% (00:30) correct 22% (00:25) wrong based on 42 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

[Reveal] Spoiler:
Attachment:

2017-08-08_2111_001.png [ 3.96 KiB | Viewed 738 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 139535 [0], given: 12794

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Joined: 26 Feb 2016
Posts: 1809

Kudos [?]: 830 [0], given: 22

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

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08 Aug 2017, 10:27

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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Kudos [?]: 830 [0], given: 22

Re: In the figure above, what is the length of AB?   [#permalink] 08 Aug 2017, 10:27
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