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

1. 5√3 cm
2. 5 cm
3. 10√3 cm
4. 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.