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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: 46284
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:

100% (00:46) correct 0% (00:00) wrong based on 37 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 1636 times ]

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Joined: 05 Jun 2017
Posts: 4
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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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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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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