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# What is the value of x in the figure above?

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Math Expert
Joined: 02 Sep 2009
Posts: 55148
What is the value of x in the figure above?  [#permalink]

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08 Aug 2017, 10:19
00:00

Difficulty:

15% (low)

Question Stats:

97% (01:07) correct 3% (00:37) wrong based on 41 sessions

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What is the value of x in the figure above?

(A) 12
(B) 12.5
(C) 15
(D) 9√3
(E) 18

Attachment:

2017-08-08_2111_002.png [ 5.7 KiB | Viewed 1997 times ]

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Joined: 05 Jun 2017
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Re: What is the value of x in the figure above?  [#permalink]

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08 Aug 2017, 10:25
√(25*25-20*20)

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Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
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What is the value of x in the figure above?  [#permalink]

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08 Aug 2017, 10:37
Bunuel wrote:

What is the value of x in the figure above?

(A) 12
(B) 12.5
(C) 15
(D) 9√3
(E) 18

Attachment:
2017-08-08_2111_002.png

Using Pythagorean theorem, we get;

$$x^2 + 20^2 = (19+6)^2$$

$$x^2 + 20^2 = 25^2$$

$$x^2 = 25^2 - 20^2$$

$$x^2 = 625 - 400 => 225$$

$$x = \sqrt{225} => 15$$

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Joined: 22 May 2016
Posts: 2731
What is the value of x in the figure above?  [#permalink]

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08 Aug 2017, 14:14
Bunuel wrote:

What is the value of x in the figure above?

(A) 12
(B) 12.5
(C) 15
(D) 9√3
(E) 18

Attachment:
2017-08-08_2111_002.png

(x:20:25)

The figure is a 3a-4a-5a triangle, where a=5.

x is the short leg. (3*5) = 15

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What is the value of x in the figure above?   [#permalink] 08 Aug 2017, 14:14
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