math

What is the area of an equilateral triangle having height of 12 decimeter

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asked by Rabi
  1. The height creates a right-angled triangle with angles of 30° and 60°
    so if the base of that triangle is x, then using the ratios of the 30-60-90 triangle,
    x/1 = 12/√3
    x = 12/√3 or 12/√3 *√3/√3 = 4√3
    So the base of the equilateral triangle is 8√3
    giving you an area of
    (1/2)(8√3)(12) dm^2
    = 48√3 dm^2

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    posted by Reiny

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