Question

In an equilateral triangle of side `2sqrt(3)` cm, the circum radius is ______.

Options

• 1 cm

• `sqrt(3)` cm

• 2 cm

• `2sqrt(3)` cm

Answer 1

In an equilateral triangle of side `2sqrt(3)` cm, the circum radius is 2 cm.

Explanation:

∵ Triangle is equilateral, so Δ = `sqrt(3)/4a^2` and R = `a^3/(4Δ)`

⇒ R = `a^3/((4sqrt(3))/4a^2)`

= `a/sqrt(3)`

∵  a = `2sqrt(3)`

⇒ R = 2