Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse.
(i) 7 cm, 24 cm, 25 cm
(ii) 3 cm, 8 cm, 6 cm
(iii) 50 cm, 80 cm, 100 cm
(iv) 13 cm, 12 cm, 5 cm

(i) (25)² = 625

7² + (24)² = 49 + 576 = 625

Therefore, (25)² = 7² + (24)²

It is a right triangle and length of hypotenuse = 25 cm [Since hypotenuse is the longest side of a right triangle]

(ii) 8² = 64

3² + 6² = 9 + 36 = 45

8² ≠ 3² + 6²

Therefore, it's not a right triangle.

(iii) 100² = 10000

50² + 80² = 2500 + 6400 = 8900

100² ≠ 50² + 80²

Therefore, it's not a right triangle.

(iv) 13² = 169

12² + 5² = 144 + 25 = 169

Therefore, 13² = 12² + 5²

It is a right triangle and the length of the hypotenuse = 13cm

Thus (i) and (iv) are right triangles.