The circumcentre of an equilateral triangle is at a distance of 3.2 cm from the base of the triangle. What is the length (in cm) of each of its altitudes?

9.6

We know that,

The ratio of the Circumradius and inradius = 2 : 1

and the height = Circumradius + inradius = 2x + 1x = 3x

Circumradius = 3.2 cm

Inradius = 3.2

Then the height =  3.2 × 3 = 9.6 cm