Question

The sides of certain triangles are given below. Determine which of them right triangles are.

(i) a = 7 cm, b = 24 cm and c = 25 cm
(ii) a = 9 cm, b = l6 cm and c = 18 cm
(iii) a = 1.6 cm, b = 3.8 cm and c = 4 cm
(iv) a = 8 cm, b = 10 cm and c = 6 cm

Answer 1

We have,

Then, by converse of Pythagoras theorem, given triangle is a right triangle.

We have,

Then, by converse of Pythagoras theorem, given triangle is not a right triangle.

We have,

Then, by converse of Pythagoras theorem, given triangle is a right triangle.