find g. write your answer in simplest radical form. miles

Explanation:

Step1: Identify triangle type

This is a 45 - 45- 90 right - triangle. In a 45 - 45- 90 triangle, the ratio of the sides is $1:1:\sqrt{2}$, where the legs are of equal length and the hypotenuse is $\sqrt{2}$ times the length of a leg. Let the length of each leg be $a$ and the hypotenuse be $c$. Here, if one leg is $\sqrt{6}$ miles and the other leg is $g$. Since in a 45 - 45- 90 triangle the two legs are equal, we have $g=\sqrt{6}$ miles.

Answer:

$\sqrt{6}$