Question

If the incentre of an equilateral triangle lies inside the triangle and its radius is 6 cm, then the side of the equilateral triangle is

Answer 1

R = 6 cm

By sine formula

a = 2R sinA

= 2×6× sin60

$= 12 \times \frac{ \sqrt{3} }{2}$
$= 6 \sqrt{3} cm$