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in a right triangle, a and b are the lengths of the legs and c is the l…

Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 20 inches and b = 15 inches, what is c? if necessary, round to the nearest tenth.

c = \boxed{} inches

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute values of a and b

$$c^2 = 20^2 + 15^2 = 400 + 225 = 625$$

Step3: Calculate c

$$c = \sqrt{625} = 25$$

Answer:

25