Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 3.1 inches and b = 5.1 inches, what is c? if necessary, round to the nearest tenth.

c =

inches

Explanation:

Step1: Apply Pythagorean theorem

$c=\sqrt{a^{2}+b^{2}}$

Step2: Substitute values of a and b

$c=\sqrt{(3.1)^{2}+(5.1)^{2}}=\sqrt{9.61 + 26.01}=\sqrt{35.62}$

Step3: Calculate and round

$c\approx5.97\approx6.0$

Answer:

$6.0$