Is it possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm? Give reason for your answer.
Not possible.
Solution.
We know that the sum of two sides of a triangle must be greater than third side.
Let ABC is any triangle, AB = 4 cm, BC = 3 cm and CA = 7 cm
AB + BC = 4 + 3 = 7 cm = CA
=> AB + BC = CA
It is not greater than the third side.
Therefore the given statement is false.