# 30-60-90 triangle

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The hypotenuse of a 30-60-90 triangle is 10. Find the perimeter.

How do i do that?

• 30-60-90 triangle -

The sides of a 30-60-90 triangle are in the ratio of
1 : √3 : 2

so your triangle will be in the ratio a : b : 10

a/1 = 10/2
a = 5

b/√3 = 10/2
b = 5√3

so the perimeter = 5 + 5√3 + 10 = 15 + 5√3 or appr. 23.66

• 30-60-90 triangle -

thank you

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