Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.

c = \boxed{} meters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, the Pythagorean theorem is \( a^2 + b^2 = c^2 \), where \( a = 48 \), \( b = 36 \), and \( c \) is the hypotenuse. So we calculate \( 48^2 + 36^2 \).
\( 48^2 = 2304 \), \( 36^2 = 1296 \), then \( 2304 + 1296 = 3600 \).

Step2: Solve for c

Take the square root of 3600: \( c = \sqrt{3600} = 60 \).

Answer:

60