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Mathematics 19 Online
OpenStudy (anonymous):

Triangle ABC has the length of side AB as 10 centimeters. E is a point on AB and D is a point on BC. Points E and D are joined using a straight line. The measure of segment BD is 5 centimeters. The measure of angle BAC is equal to the measure of angle If the area of triangle ABC is 240 cm2, the area of triangle BDE is _____ cm2.

OpenStudy (anonymous):

OpenStudy (anonymous):

tips?

OpenStudy (kinggeorge):

This is a similar triangles problem, so you'll want proportions. So first off, can you show that triangle ABC is similar to triangle BDE?

OpenStudy (anonymous):

5 seems to be seem similar to 10

OpenStudy (anonymous):

BD seems to corresponds with AB

OpenStudy (kinggeorge):

Correct. Since area is proportional to the square of the side lengths, that means the area of the smaller triangle would be...

OpenStudy (anonymous):

ahh

OpenStudy (anonymous):

I think I have this one

OpenStudy (anonymous):

the area is 60

OpenStudy (kinggeorge):

Right on.

OpenStudy (anonymous):

last one

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