Question

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

c = \boxed{} millimeters

Explanation:

Step1: Apply Pythagorean theorem

$$c^2 = a^2 + b^2$$

Step2: Substitute side lengths

$$c^2 = 5^2 + 5^2 = 25 + 25 = 50$$

Step3: Solve for c (take square root)

$$c = \sqrt{50} = 5\sqrt{2} \approx 7.1$$

Answer:

7.1