Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = \boxed{} yards

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( a = 48 \), \( b = 64 \), and \( c \) is the hypotenuse. So \( c^2 = 48^2 + 64^2 \).

Step2: Calculate squares

\( 48^2 = 2304 \), \( 64^2 = 4096 \). Then \( c^2 = 2304 + 4096 = 6400 \).

Step3: Find square root

Take square root of \( 6400 \): \( c = \sqrt{6400} = 80 \).

Answer:

80