prove that "three times the square of any side of an equilateral triangle is equal to four times the squares of the altitude?
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let x be the side of the equilateral triangle.
then altitude = x√3 / 2
4 times altitude = 4 × (x√3 / 2)^2
= 4 × (3x^2 / 4)
= 3x^2
= 3 times the square of side.
then altitude = x√3 / 2
4 times altitude = 4 × (x√3 / 2)^2
= 4 × (3x^2 / 4)
= 3x^2
= 3 times the square of side.
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