Question

Write your answer in simplest radical form​

Answer 1

`n=8√(2)`

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}}`

`(√(3))/(2)=(4√(6))/(n)`

`n=(8√(6) )/(√(3) )`

`n=8√(2)`