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, \( c^2 = a^2 + b^2 \), where \( a = 12 \), \( b = 16 \). So \( c^2 = 12^2 + 16^2 \).
\( 12^2 = 144 \), \( 16^2 = 256 \), then \( c^2 = 144 + 256 = 400 \).

Step2: Solve for c

Take square root: \( c = \sqrt{400} = 20 \).

Answer:

20