Question

Find the missing side lengths, put answer as radical in simplest form

Look at picture for reference

Answer 1

a = 2
`√(3)`

b = 3,

Explanation:

For b:

tan 60 =
`(per)/(base)`

`√(3)` =
`(b)/(√(3) )`

b =
`√(3) √(3)`

b =3

For a:

`c^(2)= a^(2) +b^(2)`

Here c = a,

`a^(2)` =
`√(3) ^(2) + 3^(2)`

`a^(2) = 3+9\\a^(2) = 12\\ a = 2√(3)`