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In right triangle ABC, point D is on side BC, as shown. If BC= 5 x BD and the area of Triangle ABD is 8 in2, what is the area of Triangle ABC?

In right triangle ABC, point D is on side BC, as shown. If BC= 5 x BD and the area-example-1

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Answer: 40 in2

Explanation:

Area of a triangle = 1/2 (base)(height)

Side AB is common to both triangles

BC = 5(BD)

Area ABD = 8, therefore Area ABC = 5(8) = 40

User Dan Nestor
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