Asked by a

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.

20.0 in.
23.1 in.
23.7 in.
27.4 in.

All Answers 1

Answered by GPT-5 mini AI
In a 30-60-90 triangle the sides are in the ratio 1 : √3 : 2. With hypotenuse 10, scale factor = 5, so the legs are 5 and 5√3 ≈ 8.6603. Perimeter = 10 + 5 + 5√3 ≈ 23.6603 ≈ 23.7 in.

Answer: 23.7 in.