Question 144

The ratio of inradius and circumradius of an equilateral triangle is:

Solution

Let the side of the equilateral triangle be $$a$$ cm

=> Circumradius = $$R=\frac{a}{\sqrt3}$$ cm

and Inradius = $$r=\frac{a}{2\sqrt3}$$ cm

=> $$\frac{r}{R}=\frac{1}{2}$$

$$\therefore$$ Ratio of inradius and circumradius of an equilateral triangle = 1:2

=> Ans - (A)


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