Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 3.4 kilometers and b = 1.8 kilometers, what is c? if necessary, round to the nearest tenth.
c = kilometers

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute values

$c = \sqrt{(3.4)^{2}+(1.8)^{2}}=\sqrt{11.56 + 3.24}=\sqrt{14.8}$

Step3: Calculate and round

$c\approx3.8$

Answer:

$3.8$