Question

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 1

23.7

Explanation:

Answer 2

A 30 60 90 triangle has one leg = hyp/2 and the other = hyp * sq rt(3)/2

hyp = 10
leg = 5
leg = 10 * 0.8660254038 = 8.660254038
perimeter = 10 + 5 + 8.7
perimeter = 23.7