Question

Which of the following shows the length of the third side, in inches, of the triangle below?

24 in
6,052 inches
50 inches
70 inches
198 inches

Answer 1

D

Explanation:

This is a Pythagorean Theorem application.

Givens

a = ?

b = 24

c = 74

Formula

a^2 + b^2 = c^2

Solution

a^2 + 24^2 = 74^2

a^2 + 576 = 5476 Subtract 576 from both sides.

a^2 +576-576 = 5476- 576 Subtract

a^2 = 4900 Take the square root of both sides.

sqrt(a^2)=sqrt(4900)

a = 70

D