Subject :IMO Class : Class 7

In a Δ*ABC*, if *AB* + *BC* = 10 cm, *BC* + *CA* = 12 cm, *CA* + *AB* = 16 cm, then the perimeter of the triangle is ______.

A 19 cm

B 17 cm

C 28 cm

D 22 cm

It is given that, AB BC = 10 cm ...(i) BC CA = 12 cm ...(ii) CA AB = 16 cm ...(iii) Adding (i), (ii) and (iii); we get, 2(AB BC CA) = 10 12 16 â AB BC CA = 19 cm.