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In the figure above, the two square regions have areas 16 and 25, resp

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Senior PS Moderator
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In the figure above, the two square regions have areas 16 and 25, resp  [#permalink]

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New post 31 Oct 2018, 18:19
1
00:00
A
B
C
D
E

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  15% (low)

Question Stats:

86% (00:48) correct 14% (00:33) wrong based on 24 sessions

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In the figure above, the two square regions have areas 16 and 25, respectively. What is the area of the shaded triangular region?

A. 6
B. 8
C. 9
D. 12
E. 15


Spoiler: ::
Attachment:
Geometry.PNG
Geometry.PNG [ 2.72 KiB | Viewed 466 times ]
Spoiler: OA

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Re: In the figure above, the two square regions have areas 16 and 25, resp  [#permalink]

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New post 31 Oct 2018, 19:41
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Area of the first square = 16. Side = 4.
Area of the tilted square = 25. Side = 5.
The side of the tilted square becomes the hypotenuse of the triangle = 5.
The side of the first square becomes the height of the triangle. = 4.
Then by Pythagoras theorem, the base is 3.
Area of the triangle = 1/2*4*3 = 6.

A is the answer.
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Re: In the figure above, the two square regions have areas 16 and 25, resp   [#permalink] 31 Oct 2018, 19:41
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In the figure above, the two square regions have areas 16 and 25, resp

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