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

Algebra ->  Triangles -> SOLUTION: The length of the hypotenuse of a 30-60-90 triangle is 10. Find the perimeter.       Log On


   



Question 881385: The length of the hypotenuse of a 30-60-90 triangle is 10. Find the perimeter.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The sines of the angles are in ratio 1%2F2:sqrt%283%29%2F2:1 as are the sides.
P=10%281%2F2%2Bsqrt%283%29%2F2%2B1%29
P=10%283%2F2%2Bsqrt%283%29%2F2%29
P=5%283%2Bsqrt%283%29%29