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A parallelogram has a base of 100, a side length of 36, and interior angle of 60, what is the height

A parallelogram has a base of 100, a side length of 36, and interior angle of 60, what-example-1

1 Answer

3 votes

Answer:


18√(3)

Explanation:

Please see the attached image

I'm assuming you've already learned the special properties of a 30-60-90 triangle.

By drawing a 30-60-90 triangle by constructing line BC, and using the special proportions that come from it, we can find that

AB=AC/2=36/2=18

and

BC=AB*
√(3)=
18√(3)

A parallelogram has a base of 100, a side length of 36, and interior angle of 60, what-example-1
User Kandice
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