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 kilometers and b = 5 kilometers, what is c? if necessary, round to the nearest tenth. c = kilometers

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute given values

$c^{2}=2^{2}+5^{2}=4 + 25=29$

Step3: Solve for c

$c=\sqrt{29}\approx 5.4$

Answer:

$5.4$