The radius of the incircle of a triangle is 2 cm. If the

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The radius of the incircle of a triangle is 2 cm. If the area of the triangle is 6 cm², then its perimeter is

1. 2 cm
2. 3 cm
3. 6 cm
4. 9 cm

Correct Option: C

OD = OE = OF = 2cm.
∴ Area of ∆ABC
= Area of ∆AOB + Area of ∆BOC + Area of ∆AOC

⇒ 6 =	1	× AB × 2 +	1	× BC × 2 +	1	× CA × 2
	2		2		2

⇒ AB + BC + CA = 6 cm