Question

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

3 cm, 4 cm and 5 cm

Answer 1

Given: 3 cm, 4 cm and 5 cm

Step-wise calculation:

Largest side = 5 cm   ...(Hypotenuse)

3² = 9

4² = 16 

⇒ 3² + 4² = 9 + 16

⇒ 3² + 4² = 25

5² = 25

Since 3² + 4² = 5², Pythagoras’ theorem holds for these sides.

Yes, the sides 3 cm, 4 cm and 5 cm form a right-angled triangle with the right angle between the 3 cm and 4 cm sides.