Question

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

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Calculate squares

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

Step3: Sum the values

$28.09+7.29 = 35.38$. So $c=\sqrt{35.38}$.

Step4: Find the square - root

$\sqrt{35.38}\approx5.9$ (rounded to the nearest tenth).

Answer:

$5.9$ kilometers