The length of each side of a triangle is 12 cm. What is the length of the circumradius of the triangle?

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)
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  1. 8√3 cm
  2. 2√3 cm
  3. 6√3 cm
  4. 4√3 cm

Answer (Detailed Solution Below)

Option 4 : 4√3 cm
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Detailed Solution

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Given:

The side of an equilateral triangle is 12 cm.

Formula used:

The formula for the circumradius (R) of an equilateral triangle is R = (a/√3), where a is the length of a side of the equilateral triangle.

Calculation:

The side length of the equilateral triangle is given as 12 cm.

Using the formula for circumradius, we get:

R = (a/√3)

R = (12/√3)

R = 4√3 cm

Therefore, the radius of the circumcircle of the equilateral triangle is 4√3 cm.

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