Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 7.7 centimeters and b = 2.8 centimeters, what is c? if necessary, round to the nearest tenth.

c = centimeters

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute values of a and b

$c=\sqrt{(7.7)^{2}+(2.8)^{2}}=\sqrt{59.29 + 7.84}=\sqrt{67.13}$

Step3: Calculate and round

$c\approx 8.2$

Answer:

$8.2$