The in-radius of a triangle is 6 cm, and the sum of the

Home » Aptitude » Mensuration » Question

The in-radius of a triangle is 6 cm, and the sum of the lengths of its sides is 50 cm. The area of the triangle (in square cm.) is

Using Rule 1,

OD = OE = OF = 6 cm.
Area of triangle ABC = Area of (∆AOB + ∆BOC + ∆AOC)

=	1	AB × OF +	=	1	BC × OD +	=	1	AC × DE
	2			2			2

=	1	× 6 (AB + BC + CA)
	2

=	1	× 6 × 50 = 150 square cm.
	2