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.