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

Question

asked Aug 22, 2019 101k views

2 Answers

CallumVass · Answer 1 · 2019-08-27T11:03:55+0000

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)