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Math Help - A nice triangle problem

  1. #1
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    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.
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  2. #2
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    Hints :  \Delta BXC \sim \Delta ABC so  BC^2 = AC \cdot XC
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  3. #3
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    Quote Originally Posted by gunsandroses234 View Post
    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.

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