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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $c^{2}=a^{2}+b^{2}$, where $a = 3$ and $b = 7$. So $c^{2}=3^{2}+7^{2}$.

Step2: Calculate squares

$3^{2}=9$ and $7^{2}=49$, then $c^{2}=9 + 49=58$.

Step3: Find the value of c

$c=\sqrt{58}\approx7.6$ (rounded to the nearest tenth).

Answer:

$7.6$