Write the word or phrase that best completes each statement or answers the question.
-A right triangle has an area of 12 square inches. The square of the hypotenuse is 52. Find the lengths of thelegs of the triangle. Round your answer to the nearest inch.
A)4 in. and 6 in.
B)16 in. and 36 in.
C)2 in. and 12 in.
D)8 in. and 3 in.

Question

Quizplus · Accepted Answer

The area of a right triangle is given by (1/2) * base * height = 12. The Pythagorean theorem states that the square of the hypotenuse (c^2) equals the sum of the squares of the other two sides (a^2 + b^2). Given c^2 = 52, and knowing the area, we can deduce that the sides that would give us an area of 12 square inches and also satisfy the Pythagorean theorem with a hypotenuse squared of 52 are 4 in. and 6 in.

Write the Word or Phrase That Best Completes Each Statement