Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( a = 4 \), \( b = 7 \). So \( 4^2 + 7^2 = c^2 \).

Step2: Calculate squares

\( 4^2 = 16 \), \( 7^2 = 49 \). Then \( 16 + 49 = c^2 \), so \( c^2 = 65 \).

Step3: Find square root

\( c = \sqrt{65} \approx 8.1 \) (rounded to nearest tenth).

Answer:

8.1