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    • Thread Starter

    Consider a triangle ANC such that <BAC is equal to 30 degrees, AB=x, BC=4 and AC=5

    Show with your reasoning why x^2 - 5sqrt(3x) +9 =0.

    I first drew out the triangle and used the sine rule to get angle B (38.7).
    I then subtracted my two angles from 180 degrees to get the final angle and I then did the sine rule once again to find side x (7.45).

    I then put 7.45 in the formula above but it did not equal 0 but 41.8... not sure if I’m working this one out wrong. Can someone show me the full solution?
    • TSR Community Team

    TSR Community Team
    Hi! I've moved this to the Maths forum for you - hopefully someone will be able to help you out here

    [QUOTE=Fox Corner;75988180]Hi! I've moved this to the Maths forum for you - hopefully someone will be able to help you out here [/QUOT

    Are you sure it is not (5 root3) x?
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