Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
a = \square miles

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $c$ is the hypotenuse, $a,b$ are legs.

Step2: Rearrange to solve for $a$

$a^2 = c^2 - b^2$

Step3: Substitute given values

$c=7$, $b=6$, so $a^2 = 7^2 - 6^2 = 49 - 36 = 13$

Step4: Calculate square root of 13

$a = \sqrt{13} \approx 3.6$

Answer:

3.6 miles