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, \( a^2 + b^2 = c^2 \), where \( a = 8 \), \( b = 4 \).
\( c^2 = 8^2 + 4^2 = 64 + 16 = 80 \)

Step2: Solve for c

Take square root of 80: \( c = \sqrt{80} \approx 8.94 \) (rounded to nearest tenth)

Answer:

\( 8.9 \) (or \( \sqrt{80} \approx 8.9 \) if rounded to nearest tenth, or more precisely \( 4\sqrt{5} \approx 8.94 \))