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

A) \( \Large 2.5\sqrt{3} \)cm

B) \( \Large 5\sqrt{3} \)cm

C) \( \Large 10\sqrt{3} \)cm

D) None of these

Correct answer:
D) None of these

Description for Correct answer:
Circumradius =\( \Large \frac{2}{3}\times Height \)

Height =\( \Large \frac{10\times 3}{2} \)=15 cm

So,length of perpendicular drawn from centre = 15 - 10 = 5 cm


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