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The difference between the area of a square and that of an equilateral triangle on the same base is \(\frac14\) m2 . What is the length of the side of the triangle?

(a) (4 - √3)1/2 cm

(b) (4 + √3)1/2 cm

(c) (4 - √3)-1/2 cm

(d) (4 + √3)-1/2 cm

1 Answer

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Best answer

(c) (4 - √3)-1/2 cm

Let the base of the square and the equilateral triangle be x units. Then, given 

Area of square – Area of equilateral triangle = \(\frac14\)

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