Quantitative Aptitude Ques 2001

Question: 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

Options:

A) $ 2.5\sqrt{3}cm $

B) $ 5\sqrt{3}cm $

C) $ 10\sqrt{3}cm $

D) $ 5cm $

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Answer:

Correct Answer: D

Solution:

  • Circum radius $ =\frac{2}{3}\times Height $ $ Height=\frac{10\times 3}{2}=15cm $ So, length of perpendicular drawn from centre $ =15-10=5cm $