Q.1 Is it possible to have a triangle with the following sides?

(i) 2 cm, 3 cm, 5 cm

(ii) 3 cm, 6 cm, 7 cm

(iii) 6 cm, 3 cm, 2 cm

(i) 2 cm, 3 cm, 5 cm

(ii) 3 cm, 6 cm, 7 cm

(iii) 6 cm, 3 cm, 2 cm

We know that for a triangle, the sum of any two sides must be greater than the third side.

(i) Given sides are 2 cm, 3 cm, 5 cm

(2 + 3) = 5

5 = 5

Hence, the triangle is not possible.

(i) Given sides are 3 cm, 6 cm, 7 cm

(3 + 6) = 9 > 7

(6 + 7) = 13 > 3

(7 + 3) = 10 > 6

Hence, the triangle is possible.

(iii) Given sides are 6 cm, 3 cm, 2 cm

(3 + 2) = 5 < 6

Hence, the triangle is not possible.