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 millimeters and b = 9 millimeters, what is c? if necessary, round to the nearest tenth. c = millimeters

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute given values

$c^2 = 2^2 + 9^2 = 4 + 81 = 85$

Step3: Solve for c, round to tenth

$c = \sqrt{85} \approx 9.2$

Answer:

9.2 millimeters