Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = kilometers

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $c^{2}=a^{2}+b^{2}$, where $a = 42$ km and $b = 56$ km. So $c^{2}=42^{2}+56^{2}$.

Step2: Calculate squares

$42^{2}=42\times42 = 1764$ and $56^{2}=56\times56=3136$. Then $c^{2}=1764 + 3136=4900$.

Step3: Find the square - root

$c=\sqrt{4900}=70$ km.

Answer:

70