# Prove that the ar

Need to prove that the area of the equilateral triangle described on the side of a square is half the area of the equilateral triangles described on its diagonal

Let us take a square with side ‘a’

Then the diagonal of square will be a√ 2

Area of equilateral triangle with side ‘a’ is Area of equilateral triangle with side a√2 is Ratio of two areas can be given as follows Hence proved

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