SSC CGL Tier II 12 Apr 2015 Paper

Question : 6 of 100

Marks: +1, -0

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

Solution:

(1)

OD = OE = OF = 6 cm.
Area of triangle ABC = Area of (ΔAOB + ΔBOC + ΔAOC)

= {1}/{2} {AB} ×{OF}+ {1}/{2} {BC} ×{OD}+

{1}/{2} {AC} ×{DE}

= {1}/{2} × 6( {AB}+ {BC}+ {CA})

= {1}/{2} × 6 × 50=150

square

{\cm}

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