Solve the problem.
-A right triangle has an area of 44 square inches. The square of the hypotenuse is 185. Find the lengths of the legs of the triangle. Round your answer to the nearest inch.
A)8 inches and 11 inches
B)64 inches and 121 inches
C)4 inches and 22 inches
D)16 inches and 5.5 inches

Question

Quizplus · Accepted Answer

Let the legs of the triangle be a and b. 
From the given information, 
Area of triangle = 1/2 * a * b = 44 
a * b = 88 
Square of hypotenuse = a^2 + b^2 = 185 
Solving these two equations, we get a = 8 and b = 11. 
Therefore, the lengths of the legs of the triangle are 8 inches and 11 inches (closest to the nearest inch).

Solve the Problem. -A Right Triangle Has an Area of 44 Square Inches