SOLUTION: If the long les of a 30-60-90 triangle is 5. What is the short leg and the hypotenouse?

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Question 171845: If the long les of a 30-60-90 triangle is 5. What is the short leg and the hypotenouse?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For a 30-60-90 triangle, the sides are in the following ratios
Side opposite 30 degree angle - 1
Side opposite 60 degree angle - sqrt%283%29
Side opposite 90 degree angle - 2
Given is the side opposite the 60 degee angle is 5
sqrt%283%29+%2F+1+=+5+%2F+a
a+=+5+%2F+sqrt%283%29
and
sqrt%283%29+%2F+2+=+5+%2F+b
b+=+10+%2F+sqrt%283%29
The short leg is 5%2Fsqrt%283%29 and the hypotenuse is
10+%2F+sqrt%283%29