The sides of a triangle are of length 4 cm, 7 cm and 6 cm. Then this triangle is a right triangle.
We know that hypotenuse is the longest side. If 4 cm, 7 cm and 6 cm are the lengths of a triangle, then 7 cm will be the hypotenuse.
72 = 49 and
62 + 42 = 36 + 16 = 52
Here, 72 ≠ 62 + 42
Hence, by the converse of Pythagoras theorem, the given triangle is not a right triangle.