SOLUTION: A triangle has angles that measure 30o, 60o, and 90o. The hypotenuse of the triangle measures 10 inches. Which is the best estimate for the perimeter of the triangle? Round to t

Algebra ->  Triangles -> SOLUTION: A triangle has angles that measure 30o, 60o, and 90o. The hypotenuse of the triangle measures 10 inches. Which is the best estimate for the perimeter of the triangle? Round to t      Log On


   

Question 995471: A triangle has angles that measure 30o, 60o, and 90o. The hypotenuse of the triangle measures 10 inches.
Which is the best estimate for the perimeter of the triangle? Round to the nearest tenth.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
30-60-90 triangles have side lengths of 1 for the shortest, 2 for the hypotenuse, and sqrt(3) for the third side.
If the hypotenuse is 10 inches, the short side is 5 inches, and the other side is 5 sqrt(3) inches.
Perimeter is 10+5+5 sqrt(3)inches, and 5 sqrt (3) is 8.66 or 8.7 inches
That is 23.7 inches.