Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, the Pythagorean theorem is \( a^2 + b^2 = c^2 \), where \( a = 5 \), \( b = 12 \), and \( c \) is the hypotenuse. So we calculate \( 5^2 + 12^2 \).
\( 5^2 = 25 \), \( 12^2 = 144 \), then \( 25 + 144 = 169 \).

Step2: Solve for c

Take the square root of 169 to find \( c \). \( c = \sqrt{169} = 13 \).

Answer:

13