Write your answer in simplest radical form

Question

asked Jun 1, 2022 13.0k views

1 Answer

Arunvg · Answer 1 · 2022-06-06T01:08:56+0000

Answer:

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)