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Q.

A circle is inscribed in an equilateral triangle with side length 6 unit. Another circle is drawn
inside the triangle (but out side the first circle) tangent to the first circle and two of the sides of the triangle. Let ‘r’ be the radius of the smaller circle then  3 r is _______

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answer is 1.

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Detailed Solution

x=3r=pB    3r3+r=sin30=12r=13    

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