∆ABC is a right angled triangle, the radius of its

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∆ABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is

1. 12 sq. cm.
2. 3 sq. cm.
3. 6 sq. cm.
4. 5 sq. cm.

Correct Option: C

The angle in a semi–circle is a right angle.
∴ BC = 2 × 3 = 6 cm.
OA = 2 cm.

∴ Area of ∆ABC =	1	× BC × OA
	2

=	1	× 6 × 2 = 6 sq.cm.
	2