Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here, \(a = 9\), \(b=12\). So \(c^{2}=9^{2}+12^{2}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

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

Step3: Sum the values

\(c^{2}=225\).

Step4: Find \(c\)

Take the square root of \(225\), \(c=\sqrt{225}\).

Answer:

\(15\) meters