Question

How to find the long leg of 2√2 from a 30:60:90 triangle?

Answer 1

check the picture below.

Answer 2

Answer:
`2√(6)`

Explanation:

A 30°-60°-90° triangle has the following sides: b -
`b√(3)` - 2b

short leg (matches to 30°) so b =
`2√(2)`

long leg (matches to 60°) so
`b√(3)` =
`(2√(2))√(3)` =
`2√(6)`

hypotenuse (matches to 90°) so 2b =
`2(2√(2))` =
`4√(2)`