The side of an equilateral triangle is 12 cm. What is the radius of the circle circumscribing this equilateral triangle?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4√3 cm.
The side of an equilateral triangle is 12 cm.
The radius of a circle circumscribing an equilateral triangle = side/√3
According to the concept,
Radius of the circle = 12/√3
⇒ (4 × 3)/√3
⇒ 3√3 × √3 = (V3)2
⇒ 4 × (√3)2/√3
⇒ 4√3
The radius of the circle circumscribing this equilateral triangle is 4√3 cm.