Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = \boxed{} yards

Explanation:

Step1: Apply Pythagorean theorem

$$c^2 = 3^2 + 9^2$$

Step2: Calculate squared side lengths

$$c^2 = 9 + 81$$

Step3: Sum the squared values

$$c^2 = 90$$

Step4: Solve for c (square root)

$$c = \sqrt{90} \approx 9.5$$

Answer:

9.5 yards