Question

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, \( c^{2}=a^{2}+b^{2} \), where \( a = 3.1 \), \( b = 8.2 \).
\( c^{2}=3.1^{2}+8.2^{2} \)
\( c^{2}=9.61 + 67.24 \)
\( c^{2}=76.85 \)

Step2: Solve for c

Take the square root of both sides: \( c=\sqrt{76.85}\approx8.767 \)
Round to the nearest tenth: \( c\approx8.8 \)

Answer:

\( 8.8 \)