# geometry

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The length of the hypotenuse of a 30-60-90 triangle is 12. Find the perimeter.

• geometry -

the ratio of sides of the 30-60-90 triangle
= 1 : √3 : 2

= 6 :6√3: 12

so perimeter = 6 + 6√3 + 12 = 18 + 6√3

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