Question

Say true or false.

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

• A. True
• B. False

Answer 1

The correct option is B False

In a right circular cone, height $\left(h\right)$, radius $\left(r\right)$ and slant height $\left(l\right)$ are always the sides of right triangle, because the height of the cone is always perpendicular to its radius. Then, the height, radius and slant height of the cone make a right angled triangle, in which,

$(\text{Slant height}{)}^2=(\text{Radius}{)}^2+(\text{Height}{)}^2$.

Hence, the given statement is false and option $B$ is correct.