Question

The sides of certain triangles are given below. Determine which of them are right triangles.

9 cm, 16 cm, 18 cm 

Answer 1

For the given triangle to be right-angled, the sum of the two sides must be equal to the square of the third side.
Here, let the three sides of the triangle be a, b and c. 

a = 9 cm, b = 16 cm and c = 18 cm
`a^2+b^2=9^2+16^2` 

=81+256

=337 

`c^2=19^2` 

=361

`a^2+b^2≠c^2` 

Thus, the given triangle is not right-angled.