Question

Find whether the given sides of the triangle form a right-angled triangle or not:

5 cm, 13 cm and 12 cm

Answer 1

Given: Sides = 5 cm, 13 cm, 12 cm

Step-wise calculation:

Largest side = 13 cm   ...(Hypotenuse)

13² = 169

5² = 25 and 12² = 144

So, 5² + 12²

= 25 + 144

= 169

Since 5² + 12² = 13², the Pythagorean relation holds.

Yes, the sides 5 cm, 12 cm and 13 cm form a right-angled triangle right angle between the 5 cm and 12 cm sides.