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Perimeter of a square and an equilateral triangle is equal. If the diagonal of the square is 10√2 cm, then find the area of equilateral triangle?
  • a)
    (400√3)/9
  • b)
    (400√3/7)
  • c)
    (200√3/7)
  • d)
    (200√3)/9
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Perimeter of a square and an equilateral triangle is equal. If the dia...
Diagonal of a square = a√2 = 10√2
so a = 10, perimeter of square = 4*10 = 40 = 3x (x is the length of each side of triangle)
x = 40/3, so are of equilateral triangle = √3/4*40/3*40/3 = (400√3)/9 cm2
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Perimeter of a square and an equilateral triangle is equal. If the diagonal of the square is 10√2 cm, then find the area of equilateral triangle?a)(400√3)/9b)(400√3/7)c)(200√3/7)d)(200√3)/9e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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