Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 2\) and \(b = 9\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse. So \(c^{2}=2^{2}+9^{2}\).

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

\(2^{2}=4\) and \(9^{2}=81\), then \(c^{2}=4 + 81=85\).

Step3: Solve for \(c\)

\(c=\sqrt{85}\approx9.2\) (rounded to the nearest tenth).

Answer:

9.2