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How do you find the length of the diagonals?

How do you find the length of the diagonals?-example-1
User Tai Nguyen
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1 Answer

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Answer:

6 ft, and 6√3

Explanation:

We have rhombus, so all sides are equal . Rhombus are divided into 4 congruent triangles.

The triangle is special. 30-60,90. Hypotenuse is 6ft.

long leg=hypotenuse*sin 60°=6*√3/2=3√3.

Long diagonal of rhombus is 2*3√3=6√3 ft.

Short leg = hypotenuse *cos(60)°=6*(1/2)=3

short diagonal=2*3=6ft