Question

A square is made by joining the mid-points of the sides of the larger square. There is circle inscribed in the smaller square and an equilateral triangle inscribed in the circle. Find the ratio of the side of larger square to the side of the equilateral triangle?

A (2√2)/3 Correct Answer Incorrect Answer
B √2/√3 Correct Answer Incorrect Answer
C (4√2)/√3 Correct Answer Incorrect Answer
D (2√2)/√3 Correct Answer Incorrect Answer

Solution

Let the side of larger square = 2a Side of smaller square = √(a²+a²) = √a a Radius of circle = (√a a)/2 = a/√a Let side of triangle be ‘x’ Radius of circumcircle of triangle = x/√3 Therefore; x/√3 = a/√2 a/x = √2/√3 2a/x = (2√2)/√3

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