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In triangle ABC, D is the midpoint of AC, and E is the midpoint of AB.  Find the ratio of the area of trapezoid BCDE to the area of triangle ABC.

 Jun 30, 2020
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In triangle(ABC),  D is the midpoint of AC,  E is the midpoint of AB,  and   F is the midpoint of BC.

Construct DE, DF, and EF.

There are 4 congruent triangles:  triangle(AED), triangle(EBF), triangle(DFC), and triangle(FDE).

Since all congruent triangles have equal areas, the area of triangle(ABC) is one-third the area of trapezoid(BCDE).

 Jun 30, 2020

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