Question

I need to find the missing side lengths does anyone know the answer!?

Answer 1

u = 4 , v = 2
`√(3)`

Explanation:

using the tangent and sine ratios in the right triangle and the exact values

tan30° =
`(1)/(√(3) )` , sin30° =
`(1)/(2)` , then

sin30° =
`(opposite)/(hypotenuse)` =
`(2)/(u)` =
`(1)/(2)` ( cross- multiply )

u = 2 × 2 = 4

and

tan30° =
`(opposite)/(adjacent)` =
`(2)/(v)` =
`(1)/(√(3) )` ( cross- multiply )

v = 2
`√(3)`