Question
Download Solution PDFThe side of an equilateral triangle is 12 cm. What is the radius of the circle circumscribing this equilateral triangle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The side of an equilateral triangle is 12 cm.
Concept used:
The radius of a circle circumscribing an equilateral triangle = side/√3
Calculation:
According to the concept,
Radius of the circle = 12/√3
⇒ (4 × 3)/√3
∵ 3 = √3 × √3 = (√3)2
⇒ 4 ×(√3)2/√3
⇒ 4√3
∴ The radius of the circle circumscribing this equilateral triangle is 4√3 cm.
Last updated on Jul 21, 2025
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