Question

Can the lengths 5 cm, 12 cm, and 13 cm be the sides of a right-angled triangle?

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

Answer 1

The correct option is A

18 cm, 19 cm, 20 cm

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

Here,

$5^2+{12}^2=25+144=169={13}^2$

Since the squares of 5 and 12 add up to the square of 13, these form a Pythagorean triplet

Hence, can be used to represent the three sides of a right-angled triangle.