Solve the problem.
-Find the length of the unknown leg of the right triangle shown. Give an exact answer.

Question

Quizplus · Accepted Answer

By using Pythagorean theorem, we can find the length of the unknown leg.
a² + b² = c² where a and b are the legs and c is the hypotenuse.
In this case, we know that one leg has a length of 5 in. and the hypotenuse has a length of 13 in.
So,
a² + 5² = 13²
a² + 25 = 169
a² = 144
a = √144
a = 12 in.
Therefore, the length of the unknown leg is 12 in. (Option C). The length of the unknown leg can be found using the Pythagorean theorem. Let x be the length of the unknown leg. Then, we have:

x^2 + 9^2 = 15^2
x^2 + 81 = 225
x^2 = 144
x = 12

Therefore, the length of the unknown leg is 12 inches. Choice C is the correct answer.

Solve the Problem. -Find the Length of the Unknown Leg of the Right