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In a trapezium ABCD where AB is parallel to CD, E is the mid-point of BC, prove that ?AED = 1/2 trapezium ABCD.

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Draw a line EF joining E, the mid-point of BC and F, the mid-point of AD. Now EF is parallel to AB Area of Triangle AEF = 1/2 (Area of Trapezium ABEF) Area of Triangle DEF = 1/2 (Area of Trapezuim DCEF) Adding we get Area of Triangle AED = 1/2 (Artea of Trapezium ABCD)
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