Question

Write your answer in simplest radical form​

Answer 1

Answer:

$n=8\sqrt{2}$

Step-by-step explanation:

Measure of the angle given in the right triangle = 60°

Measure of the side opposite to the given angle = 4√6

Measure of hypotenuse = n

Therefore, we will apply the sine rule to get the measure of n,

sin(60°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$\frac{\sqrt{3}}{2}=\frac{4\sqrt{6}}{n}$

$n=\frac{8\sqrt{6} }{\sqrt{3} }$

$n=8\sqrt{2}$