1

How is the area formula for a trapezoid derived?

Question

How is the area formula for a trapezoid derived?
How is the area formula for a trapezoid derived?

Answers

See below.

Explanation:

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Notice we can form two triangles using the diagonal AC:

Area of triangle ABC:

#1/2ah#

Area of triangle ACD:

#1/2bh#

Area of trapozoid:

#1/2ah+1/2bh=1/2(a+b)h#


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