Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 9\), \(b = 12\), and \(c\) is the hypotenuse. So \(c^{2}=9^{2}+12^{2}\).

Step2: Calculate squares

\(9^{2}=81\) and \(12^{2}=144\), then \(c^{2}=81 + 144=225\).

Step3: Find \(c\)

Take the square - root of both sides. \(c=\sqrt{225}=15\).

Answer:

15