Q. 24.4( 24 Votes )

Prove that the ar

Answer :

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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