Write whether True or False and justify your answer

In a right circular cone, height, radius and slant height do not always be sides of a right triangle.

We have

This is a right circular cone, with

Height = h

Radius = r

And slant height = l

We know, ∠AOB = 90°

So by using Pythagoras theorem in ∆AOB, we can write

AB² = AO² + OB²

⇒ l² = h² + r²

This justifies that height, radius and slant height of cone can always be the sides of a right triangle.

Hence, it is true.