Trigonometric Equations Question 125

Question: In an equilateral triangle of side $ 2\sqrt{3} $ cm, the circum-radius is

[EAMCET 1978]

Options:

A) 1 cm

B) $ \sqrt{3} $ cm

C) 2 cm

D) $ 2\sqrt{3} $ cm

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Answer:

Correct Answer: C

Solution:

  • $ a=b=c=2\sqrt{3} $ $ \Delta =( \frac{\sqrt{3}a^{2}}{4} )=3\sqrt{3}sq.,cm,,\therefore ,R=\frac{abc}{4\Delta }=2cm $ .