Question

PLEASE HELLPPPP!!! FAST!!!

Find the value of the hypotenuse. Leave in simplest radical form.


12√3


4√3


8√3


12√2

Answer 1

12 divided by sin(60) equals to 8square root 3

Answer 2

8
`√(3)`

Explanation:

Using the sine ratio in the right triangle and

sin60° =
`(√(3) )/(2)`

sin60° =
`(opposite)/(hypotenuse)` =
`(12)/(y)`

Multiply both sides by y

y × sin60° = 12, that is

y ×
`(√(3) )/(2)` = 12 ← multiply both sides by 2

y ×
`√(3)` = 24 ( divide both sides by
`√(3)`)

y =
`(24)/(√(3) )`

=
`(24)/(√(3) )` ×
`(√(3) )/(√(3) )`

=
`(24√(3) )/(3)` = 8
`√(3)`