Solve the problem.
-A right triangle has an area of 40 square inches. The square of the hypotenuse is 164. Find the lengths of the legs of the triangle. Round your answer to the nearest inch.
A) 16 in. and 5 in.
B) 8 in. and 10 in.
C) 64 in. and 100 in.
D) 4 in. and 20 in.

Question

Quizplus · Accepted Answer

The area of a right triangle is (1/2) * base * height = 40. The square of the hypotenuse is 164, so the hypotenuse is √164 ≈ 12.8. Using the Pythagorean theorem, a^2 + b^2 = 164. Solving these equations, the legs are approximately 8 in. and 10 in.

Solve the Problem. -A Right Triangle Has an Area of 40 Square Inches