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Prove that area of equilateral triangle described on one side of square is equal to the half of area of equilateral triangle described on one of its diagonals,, plz jaldi or proper way me krna yarrr?
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Prove that area of equilateral triangle described on one side of squar...
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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 √3/4a². .....eq~1
⇒ Area of equilateral triangle with side a√2 is √3/4(a√2)²....eq~2
⇒ Ratio of two areas can be given as follows
⇒ on dividing equ 1st and 2nd we get = 1/2
Hence proved
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Prove that area of equilateral triangle described on one side of squar...
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Prove that area of equilateral triangle described on one side of square is equal to the half of area of equilateral triangle described on one of its diagonals,, plz jaldi or proper way me krna yarrr?
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