+129852 We have a 30-60-90 right triangle
You should memorize these relationships in a a 30-60-90 triangle
30 60 90
x x* sqrt (3) 2x
The angle opposite the 30° angle = x = 6
The angle opp the 60° = x* sqrt (3) = 6*sqrt (3) = DE
The angle opp the 90° angle = 2x = 2 (6) =12 = DF
So
DE + DF =
6sqrt (3) + 12
