Question

In a right circular cone, height, radius, and slant height do not always be sides of a right triangle. Write True or False and justify your answer in the following.

• A. True
• B. False

Answer 1

The correct option is B False

Justification

Let's consider a right circular cone with a radius $r$, a height $h$ and a slant height$l$.

We know that radius $r$, height $h$ and slant height$l$ satisfies the given below relation according to the Pythagoras theorem.

$l^2=r^2+h^2$

We know that three sides of a right angled triangle always satisfies the Pythagoras theorem.

Hence, this shows that the height, radius, and slant height of a cone can always be the sides of a right angled triangle.