Question

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

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem for a right - triangle is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs of the right - triangle and $c$ is the hypotenuse. Here, $a = 2$m and $b = 7$m. So, $c^{2}=2^{2}+7^{2}$.

Step2: Calculate the squares

$2^{2}=4$ and $7^{2}=49$. Then $c^{2}=4 + 49=53$.

Step3: Find the value of $c$

$c=\sqrt{53}\approx7.3$ (rounded to the nearest tenth).

Answer:

$7.3$