ABCD is a trapezoid with line BC perpendicular to line AB and line BC perpendicular to line CD. AB=13 BC=12 CD=8.A line segment is drawn from A to E, which is the midpoint of line CD. What is the area of triangle AED?

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Answer 1 · 2016-01-06T02:51:56

#S_(triangle AED)=24#

The trapezoid described is somewhat as the figure below:

I have created this figure using MS Excel

The formula of the area of the triangle is
#S_(triangle AED)=(base*height)/2#

Since AF is perpendicular to the triangle's side DE, and AF=BC=12, we have:
#S_(triangle AED)=(DE*AF)/2=(4*12)/2=24#