In a tirangle ABC AB BC 12 cm BC CA 14 cm and CA AB 18 cm Find the radius of the circle in cm which ...........

Quantitative Aptitude ( CCS) Geometry

In a tirangle ABC, AB + BC = 12 cm, BC + CA = 14 cm and CA + AB = 18 cm. Find the radius of the circle (in cm) which has the same perimeter as the triangle-

5/2

7/2

9/2

13/2

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Explanation:

In ΔABC,
AB + BC = 12 cm
BC + CA = 14 cm
And, CA + AB = 18 cm
⇒ 2(AB + BC + CA) = 44 cm
⇒ AB + BC + CA = 22 cm

ATQ, 2πr = 22 cm
⇒ 2 × 22/7 X 22 cm
⇒ r = 7/2 cm