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:  $2\sqrt{6}$

Step-by-step explanation:

A 30°-60°-90° triangle has the following sides: b - $b\sqrt{3}$ - 2b

short leg (matches to 30°) so b = $2\sqrt{2}$

long leg (matches to 60°) so $b\sqrt{3}$ = $(2\sqrt{2})\sqrt{3}$ = $2\sqrt{6}$

hypotenuse (matches to 90°) so 2b = $2(2\sqrt{2})$ = $4\sqrt{2}$