Question

A square and an equilateral triangle have equal perimeters. If a diagonal of the square is
24√2 cm, then find the area of the triangle.
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Answer 1

Answer:

256√3 cm^2

Step-by-step explanation:

diagonal of square = side√2

24√2= side√2

side = 24 cm

perimeter of square = perimeter of triangle

4 x 24 cm = 3x side of triangle

32 cm = side of triangle

area of equilateral triangle = √3/4 x side x side

= √3 /4 x 32x32

256√3 cm^2

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