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The altitude of an equilateral triangle is 12cm. Find the length of the sides.

  • Maths -

    You know the angles of an equilateral triangle are 60º each.
    The altitude will form a right-angles triangle with angles 30,60,90º
    the lengths of those sides could be 1,√3, and 2

    so by ratios:
    x/2 = 12/√3
    x = 24/√3 = 13.856

    or

    sin 60 = 12/x
    x = 12/sin60 = 13.856

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