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A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2  cm, then the area of the triangle is :
  • a)
    24√2 cm2
  • b)
    24√3cm2
  • c)
    48√3cm2
  • d)
    64√3 cm2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A square and an equilateral triangle have equal perimeters. If the dia...
Diagonal of a square = side (root 2)
12 (root 2) = side (root 2)
Side = 12cm
P of square = 12 x 4 = 48
P of triangle = 3 x a = 48
                    => a = 16
A of equilateral triangle = (root 3)/4 (a^2)
                                      = (root 3) 64
                                      = 64√3cm^2
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Community Answer
A square and an equilateral triangle have equal perimeters. If the dia...
Diagonal of a square = side (root 2)
12 (root 2) = side (root 2)
Side = 12 cm
P of square = 12 x 4 = 48
P of triangle = 3 x a = 48
                    => a = 16
Area of equilateral triangle = (root 3)/4 (a^2)
                                      = (root 3) 64
                                      = 64 (root 3)
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A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm, then the area of the triangle is :a)24√2cm2b)24√3cm2c)48√3cm2d)64√3 cm2Correct answer is option 'D'. Can you explain this answer?
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