Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and
4 cm? Give reason for your answer.
Yes
Solution.
Sum of two sides of triangle must be greater than third side. Here in DABC.
Let AB = 8 cm, BC = 7 cm, AC = 4 cm,
AB + BC = 8 + 7 cm = 15 cm
AB + BC > AC
and AB + AC = 8 + 4 cm = 12 cm > BC
and BC + AC = 7 + 4 cm = 11 cm > AB
Hence the answer is yes, it is possible to construct such a triangle.