Question

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

Answer 1

x = 6

y = 3

Explanation:

Give triangle is a right triangle.

By applying sine ratio in the given triangle,

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

`(√(3))/(2)=(3√(3))/(x)`

x = 6

Now we take the cosine ratio in the given triangle,

cos(60)° =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

`(1)/(2)=(y)/(x)`

y =
`(x)/(2)`

y =
`(6)/(2)=3`

Therefore, x = 6 and y = 3 will be the answer.