Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = \square feet

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( a = 8 \), \( b = 15 \), \( c \) is hypotenuse.

Step2: Substitute values

\( 8^2 + 15^2 = c^2 \) → \( 64 + 225 = c^2 \)

Step3: Calculate sum

\( 289 = c^2 \)

Step4: Take square root

\( c = \sqrt{289} = 17.0 \) (since \( 17^2 = 289 \))

Answer:

17.0