For the trapezoid ABCD, E denotes the midpoint of BC. Try to prove that the area of the triangle AED equals to half of the area of the trapezoid ABCD. da
For the trapezoid ABCD, E denotes the midpoint of BC. Try to prove that the area of the triangle AED equals to half of the area of the trapezoid ABCD. da
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 38E
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Step 1: Consider the provided diagram and make some construction.
VIEWStep 2: In the provided trapezoid ABCD, AB is parallel to DC and E is mid-point BC.
VIEWStep 3: Further simplify,
VIEWStep 4: Adding equation (1) and (3).
VIEWStep 5: Further simplify,
VIEWStep 6: Substitute equation (4) in above equation.
VIEWStep 7: Hence, it proved that the area triangle AED is equal to half of the area of trapezoid ABCD.
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