# Let ABC be an equilateral triangle with side length A

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Let ABC be an equilateral triangle with side length A. Let R and r denote the radii of the circumcircle and the incircle of triangle ABC, respectively. Then, as a function of a, the ratio R/r

(1) strictly increases

(2) strictly decreases

(3) remains constant

(4) strictly increases for a < 1 and strictly decreases for a > 1

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The correct option is (c) remains constant.

In equilateral triangle centroid(G) and circumcentre are coincide.