Side of an equilateral triangle is 24 cm. What will be the radius of in circle of this equilateral triangle?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 3)
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  1. 6√2 cm
  2. 12 cm
  3. 4√3 cm
  4. 3 cm

Answer (Detailed Solution Below)

Option 3 : 4√3 cm
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Detailed Solution

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Given:

Side of an equilateral triangle is 24 cm.

Concept used:

In-radius of an equilateral triangle is (side of the triangle)/2√3

Calculation:

According to the concept,

Inradius = 24/2√3

⇒ 12/√3

⇒ by Mulitplying √3

⇒ (12*√3)/(√3*√3)

⇒ 4√3 cm

∴ The radius of in circle of this equilateral triangle 4√3 cm.

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