Question

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

Explanation:

Step1: Apply Pythagorean theorem

$c^{2}=a^{2}+b^{2}$, where $a = 2.7$ km and $b = 5.3$ km. So $c^{2}=2.7^{2}+5.3^{2}$.

Step2: Calculate squares

$2.7^{2}=7.29$ and $5.3^{2}=28.09$. Then $c^{2}=7.29 + 28.09=35.38$.

Step3: Find c

$c=\sqrt{35.38}\approx5.9$ km.

Answer:

$5.9$