Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = miles
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Explanation:

Step1: Apply the Pythagorean theorem

The Pythagorean theorem for a right - triangle is \(a^{2}+b^{2}=c^{2}\), where \(a = 12\), \(b = 9\), and \(c\) is the hypotenuse.
Substitute the values: \(12^{2}+9^{2}=c^{2}\).
Calculate \(12^{2}=144\) and \(9^{2}=81\).
So, \(144 + 81=c^{2}\).

Step2: Solve for \(c\)

\(144+81 = 225\), so \(c^{2}=225\).
Take the square root of both sides: \(c=\sqrt{225}\).
\(c = 15\)

Answer:

\(15\)