Question

Find the value of x and the value of y.

A. x= 2 squared root of 3, y= 4 squared root of 3
B. x= 3,y= 6 squared root of 3
C. x= 6 squared root of 3, y=12
D. 2 squared root of 3, y= 6

Answer 1

Option A

Explanation:

To find all missing sides of a right triangle we use the sine, cosine or tangent ratio as below,

sinθ =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

cosθ =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

tanθ =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

Now we take an angle measuring 60°

sin(60°) =
`(6)/(y)`

`(√(3) )/(2)=(6)/(y)`

y = 4√3

tan(60°) =
`(6)/(x)`

√3 =
`(6)/(x)`

x = 2√3

Therefore, Option A will be the correct option.