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Re: Arc AED above is a semicircle. EC is the height to the base AD. The ar [#permalink]

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27 Oct 2014, 20:09

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minhphammr wrote:

Arc AED above is a semicircle. EC is the height to the base AD. The area of triangle AEC is 96. If CE=12, what is the area of triangle CDE? A. 48 B. 54 C. 72 D. 84 E. 150

For detailed explanation, above post can be referred.

Re: Arc AED above is a semicircle. EC is the height to the base AD. The ar [#permalink]

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Re: Arc AED above is a semicircle. EC is the height to the base AD. The ar [#permalink]

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06 Sep 2017, 01:01

minhphammr wrote:

Attachment:

T8910x.png

Arc AED above is a semicircle. EC is the height to the base AD. The area of triangle AEC is 96. If CE=12, what is the area of triangle CDE?

A. 48 B. 54 C. 72 D. 84 E. 150

In triangle ACE , 1/2*AC* CE = 96 -> AC = 16

Now triangle CED ~ triangle CAE CE/CD = CA/CE CE^2 = CA * CD (If you can remember this property of the right angles triangle, it will be highly helpful to solve the problem in a quick manner.) 12^2 = 16 * CD CD = 9