SOLUTION: https://imgur.com/8J0Mleu ABCD is a trapezoid with AD ||BC. If AD = 5 cm and BC = 11 cm, and if the area of the trapezoid is 80 cm^2, find the area of triangle ABE, in cm^2.

Question 1187826: https://imgur.com/8J0Mleu ABCD is a trapezoid with AD ||BC. If AD = 5 cm and BC = 11 cm, and if the area of the trapezoid is 80 cm^2, find the area of triangle ABE, in cm^2.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

With parallel to and the midpoint of , the area of triangle is the area of the trapezoid.
ANSWER: The area of triangle ABE is .
To see that this is true, consider the midline of the trapezoid.
Let the height of the trapezoid be ; then the altitudes of triangles ,, , and are all.

The area of triangle is the sum of the areas of triangles and :

The area of the trapezoid is

So the area of triangle is the area of the trapezoid.

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