Attachment 21439

The diagram is attached.

The question is:

In the diagram is a parallelogram. If , and the area of , find the area of triangle .

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- Apr 13th 2011, 05:46 AMIlsaQuestion on Similarity
Attachment 21439

The diagram is attached.

The question is:

In the diagram is a parallelogram. If , and the area of , find the area of triangle . - Apr 13th 2011, 06:49 AMHallsofIvy
The area of a parallelogram is "height times base". Since you are told that the base (the length of AD which is the same as the length of BC) is 4 and that the area of the parallelogram is 40, the height, the perpendicular distance from BC to AD, is 10.

The area of a triangle is "(1/2) heigth times base" and the base of triangle APD is also 4 so you need to find the perpendicular distance from P to AD. That will be 10 plus the perpendicular distance from P to BC. The two right triangles having hypotenuses CP and DC are similar triangles but, since you do not know CD, I see no way of using that to get the perpendicular distance you need. - Apr 13th 2011, 07:00 AMIlsa
- Apr 13th 2011, 07:42 AMSambit
I too tried a lot to get something helpful...but did not get any. There is possibly no way to answer your question...

- Apr 13th 2011, 11:42 AMHallsofIvy