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Triangle ABC is symmetric about the y-axis. Point A is locat

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Triangle ABC is symmetric about the y-axis. Point A is locat [#permalink] New post 12 Nov 2017, 01:05
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Triangle ABC is symmetric about the y-axis. Point A is located at (-4,0), and AB is the longest side of ABC. If the perimeter of ABC is 18, what is the area?

A. 3√2
B. 6
C. 6√2
D. 12
E. 24

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Re: Triangle ABC is symmetric about the y-axis. Point A is locat [#permalink] New post 13 Nov 2017, 00:07
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Since the triangle is symmetric with respect to axis y, one of its points, A, is (-4, 0) and AB is the longest side, AB = 8. Then, given 18 is the perimeter, we can derive the length of the two other sides as being 5 and 5. Thus, focusing on one half of the triangle we can notice that it is right-angled and its sides are a Pythagorean triplet 3-4-5. Then, the height of the triangle is 3.

The area of ABC is then computed as (8*3)/2 = 12

Answer D
Re: Triangle ABC is symmetric about the y-axis. Point A is locat   [#permalink] 13 Nov 2017, 00:07
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Triangle ABC is symmetric about the y-axis. Point A is locat

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