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trapezoid in triangle

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by wahi00 » Tue Apr 15, 2008 8:45 am
If BE CD, and BC = AB = 3, AE = 4 and CD = 10, what is the area of trapezoid BEDC?
12
18
24
30
48

I am not able to post the picture. I have tried attaching it as an attachment. Please let me know it it works?
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special triangles

by AleksandrM » Tue Apr 15, 2008 9:11 am
I think that the answer is B, 18.

The bigger triangle ACD is a special 6-8-10 triangle. So the area of the bigger triangle is 6 x 8/2 = 24 [note also that since the side AD is 8, then ED = 4]

Then, claculate the area of the smaller special triangle 3-4-5 ABE, which is 3 x 4/2 = 6

Then subtract the area of smaller triangle from the area of the bigger triangle and you get 24 - 6 = 18.

Hope I am right!
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