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What is the area of RST

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What is the area of RST [#permalink] New post 10 Nov 2017, 07:09
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What is the area of RST ??

Attachment:
RST.jpg
RST.jpg [ 16.31 KiB | Viewed 93 times ]


A. 6

B. 2 \sqrt{13}

C. 10

D. 12

E. 24
[Reveal] Spoiler: OA

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Re: What is the area of RST [#permalink] New post 11 Nov 2017, 00:33
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Points T and R coordinates are easily computed because the points are on the axes. Thus, point T has the same y-coordinate of point S and x-coordinate equal to 0, while point R has the same x-coordinate of point S and y-coordinate equal to zero.

Then, ST = 6 and SR = 4. Moreover, given that the two segments are perpendicular to the axes (right angles drawn on the figure) they are perpendicular among them too so that the triangle is a right triangle.

Its area is computed as (ST*SR)/2 = (6*4)/2 = 12.

Answer D
Re: What is the area of RST   [#permalink] 11 Nov 2017, 00:33
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