In triangleABC,Xis a point onACsuch thatAX= 15 metres,XC= 5 metres, AngleAXB= 60 degrees and AngleABCis two times bigger than AngleAXB. Find the length ofBC.

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- Jul 18th 2010, 07:55 PMgunsandroses234A 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*. - Jul 18th 2010, 08:35 PMsimplependulum
Hints : $\displaystyle \Delta BXC \sim \Delta ABC $ so $\displaystyle BC^2 = AC \cdot XC$

- Jul 19th 2010, 12:38 AMmr fantastic