Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.
[Not possible]
Solution.
We know that the sum of two sides of triangle must be greater than the third side.
Let AB = 9 cm, BC = 7 cm, AC = 17 cm
AB + BC = 9 + 7 cm = 16 cm < 17 cm = AC
AB + BC < AC
So, the triangle is not possible.