Solve the problem.
-a and b represent the legs of a right triangle and c represents the hypotenuse. Determine the value of the question mark (?).
A = 20, c = 52, b = ?
A) 144
B) 56
C) 32
D) 48

Question

Quizplus · Accepted Answer

We can use the Pythagorean theorem to solve for b:
a^2 + b^2 = c^2
20^2 + b^2 = 52^2
400 + b^2 = 2704
b^2 = 2304
b = 48 (since we're dealing with length, we take the positive square root)
Therefore, the value of the question mark (?) is 48, making answer choice D the correct option.

Solve the Problem. -A and B Represent the Legs of a Right Triangle