Which of the following can be the sides of a right
triangle?
(i) 2.5 cm,6.5 cm, 6 cm.
(ii) 2 cm, 2 cm, 5 cm.
(iii) 1.5 cm, 2cm, 2.5 cm.
In the case of right-angled triangles, identify the right angles.

(i) Since the largest side is 6.5 cm, it will be the hypotenuse.

To be a right-angle triangle, the square of the hypotenuse should be equal to the sum of squares of other two sides.

6.5² = 2.5² + 6²

42.25 = 6.25 + 36

42.25 = 42.25

So, this is a right-angle triangle.

(ii) Since the largest side is 5 cm, it will be the hypotenuse.

To be a right-angle triangle, the square of the hypotenuse should be equal to the sum of squares of other two sides.

5² = 2² + 2²

25 = 4 + 4

25 ≠ 8

So, this is not a right-angle triangle.

(iii) Since the largest side is 2.5 cm, it will be the hypotenuse.

To be a right-angle triangle, the square of the hypotenuse should be equal to the sum of squares of other two sides.

2.5² = 1.5² + 2²

6.25 = 2.25 + 4

6.25 = 6.25

So, this is a right-angle triangle.