Trapezoid thirds

The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment.


x : (Correct answer is: ) OK

Step-by-step explanation:

S1 = xh/2 S2 = (ax)h S1=S2 xh/2 = (ax)h x = 2a  2x 3x = 2a x=x = AE = 2/3 a

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Showing 1 comment:
Dr Math
AE = 2/3 AB

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