Question

9 mi.
12 mi.
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = miles

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, the Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 12\), \(b = 9\), and \(c\) is the hypotenuse. So we substitute the values: \(12^{2}+9^{2}=c^{2}\)

Step2: Calculate the squares

\(12^{2}=144\) and \(9^{2}=81\), so the equation becomes \(144 + 81=c^{2}\)

Step3: Sum the values

\(144+81 = 225\), so \(c^{2}=225\)

Step4: Take the square root

To find \(c\), we take the square root of both sides: \(c=\sqrt{225}=15\) (since length can't be negative)

Answer:

15