Question

The triangle of sides 9 cm, 10 cm and 13 cm is a right-angled triangle.

• A. 18 cm, 19 cm, 20 cm
• B. 18 cm, 25 cm, 32 cm

Answer 1

The correct option is B

18 cm, 25 cm, 32 cm

For any lengths to be sides of a right angled triangle, the sum of the squares of the 2 of them should be equal to the square of the third.

Here,
$9^2+{10}^2=81+100=181\ne {13}^2$

Since the squares of 9 and 10 don't add up to the square of 13, these do not form a Pythagorean triplet

Hence, they can not be used to represent the three sides of a right-angled triangle.