Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 2 feet and b = 8 feet, what is c? if necessary, round to the nearest tenth. c = feet

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute given values

$$c^2 = 2^2 + 8^2 = 4 + 64 = 68$$

Step3: Solve for c (square root)

$$c = \sqrt{68} \approx 8.246$$

Step4: Round to nearest tenth

$$c \approx 8.2$$

Answer:

8.2 feet