Question

Find the missing side lengths, put radicals in the simplest form

Answer 1

u = 2
`√(5)` v =
`√(15)`

Explanation:

longer leg of a 30-60-90 triangle is shorter leg times
`√(3)` and the hypotenuse of a 30-60-90 triangle is shorter leg times 2.

So, the length of the shorter leg =
`√(5)`

Therefore, u = 2
`√(5)` and v =
`√(3) √(5) = √(15)`