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 \( a = 5 \), \( b = 12 \). So \( 5^2 + 12^2 = c^2 \).

Step2: Calculate squares

\( 5^2 = 25 \), \( 12^2 = 144 \). Then \( 25 + 144 = c^2 \), so \( 169 = c^2 \).

Step3: Find square root

Take square root of both sides: \( c = \sqrt{169} = 13 \).

Answer:

13