In the isosceles triangle ACB AB=AC=4cm BAC= 30. and CN is an altitude. Find BN

Answer 1

(BC/2)/4 = sin 15°
so, BC = 8sin15°

angle BCN is also 15°

BN/BC = sin 15°
BN = 8 sin^2 15° = 4-2√3

Answer 2

Square root 3

Answer 3

Good one and I love it.

Answer 4

But the textbook answer is 2(2-√3)cm