# Thread: A nice triangle problem

1. ## A nice triangle problem

In triangle ABC, X is a point on AC such that AX = 15 metres, XC = 5 metres, Angle AXB = 60 degrees and Angle ABC is two times bigger than Angle AXB. Find the length of BC.

2. Hints : $\Delta BXC \sim \Delta ABC$ so $BC^2 = AC \cdot XC$

3. Originally Posted by gunsandroses234
In triangle ABC, X is a point on AC such that AX = 15 metres, XC = 5 metres, Angle AXB = 60 degrees and Angle ABC is two times bigger than Angle AXB. Find the length of BC.
I am not satisfied that this question is not from either a competition or graded assessment.