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

2 cm, 9 cm, 6 cm

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

We know that the sum of two sides of a triangle is always greater than the third.

The sides of a triangle are given as 2 cm, 9 cm, 6 cm

Suppose such a triangle is possible. Then the above property will be applicable. Let us check that.

2 + 9 = 11, which is greater than 6

9 + 6 = 15, which is greater than 2

2 + 6 = 8, which is less than 9

Thus, the triangle is not possible.

Answered by  | 4th Jun, 2014, 03:23: PM