Answer :

(i) We know that,


In a triangle, the sum of the length of either two sides of the triangle is always greater than the third side


The given sides of triangle in this question are:


2 cm, 3 cm and 5 cm


Now, 2 + 3 + = 5 cm


5 cm = 5 cm


Hence,


The triangle is not possible as the sum of the length of either two sides of the triangle is not greater than the third side


(ii) We know that,


In a triangle, the sum of the length of either two sides of the triangle is always greater than the third side


The given sides of triangle in this question are:


3 cm, 6 cm and 7 cm


Now, 3 + 6 = 9 cm and 9 cm > 7 cm


6 + 7 = 13 cm and, 13 cm > 3 cm


3 + 7 = 10 cm and, 10 cm > 6 cm


Hence,


The triangle is possible as the sum of the length of either two sides of the triangle is greater than the third side


(iii) We know that,


In a triangle,


The sum of the length of either two sides of the triangle is always greater than the third side


Therefore,


The given sides of triangle in this question are:


6 cm, 3 cm and 2 cm


Now,


6 + 3 = 9 cm and 9 cm > 2 cm


3 + 2 = 5 cm But, 5 cm < 6 cm


Hence,


The triangle is not possible as the sum of the length of either two sides of the triangle is not greater than the third side

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