# A circle of radius 10 cm has an equilateral triangle inscribed in it

Geometry
A circle of radius 10 cm has an equilateral triangle inscribed in it. The length of the perpendicular drawn from the centre to any side of the triangle is

- 5√3 cm
- 5 cm
- 10√3 cm
- 10 cm

### Answer

Let the length of perpendicular = OD.

In ΔBOD,

sin 30° = OD/OB

OD = 1/2 x 10 = 5

**The correct option is B.**