Correct Answer - Option 2 : 1 ∶ 3 ∶ 2
Given∶
An equilateral triangle.
Formula Used∶
Attitude of an equilateral triangle.
Inradius of the equilateral triangle.
Circumradius of the equilateral triangle.
Calculation∶
Altitude of an equilateral triangle = √3a/2
In radius of an equilateral triangle = a/2√3
Circumradius of an equilateral triangle = a/√ 3
So, the given ratio is a/2√3 ∶ √3a/2 ∶ a/√ 3
⇒ 1 ∶ 3 ∶ 2
∴ The required ratio is 1 ∶ 3 ∶ 2.