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The quadrilateral shown is a parallelogram. If AC = 28, what is the measure of AE?

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Answer:

14

Explanation:

Find the diagram of the parallelogram attached

According to the parallelogram shown, M is the midpoint of length of diagonal AC and BD.

If E is the midpoint of AC, then AE = EC and AE + EC = AC

Given AE + EC = AC

Substituting AE = EC into the formula, it becomes;

AE+AE = AC

2AE = AC

AE = AC/2

Given the length of side AC = 28;

AE = 28/2

AE = 14

Hence the measure of length AE is 14

The quadrilateral shown is a parallelogram. If AC = 28, what is the measure of AE-example-1
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