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# In a right circular cone, height, radius and slant height do not always be sides of a right triangle. Is the given statement true or false and justify your answer.

**Solution:**

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

We have to determine if the given statement is true or false.

Consider a right circular cone with height h, slant height l and radius r.

In a right angled triangle one angle = 90°

∠AOB = 90°

Considering triangle AOB,

By using Pythagorean theorem

AB² = OA² + OB²

l² = h² + r²

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

Therefore, the given statement is true.

**✦ Try This: **Find the volume of the right circular cone with radius 6 cm and height 7 cm.

Given, the radius of cone, r = 6 cm

Height of cone, h = 7 cm

We have to find the volume of cone

Volume of the cone = 1/3 πr²h

Where, r is the radius of the cone

h is the height of the cone

So, volume = 1/3 π(6)²(7)

= 1/3 π(36)(7)

= π(12)(7)

Therefore, volume = 84π cm³

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 13

**NCERT Exemplar Class 9 Maths Exercise 13.2 Problem 3**

## In a right circular cone, height, radius and slant height do not always be sides of a right triangle. Is the given statement true or false and justify your answer.

**Summary:**

The given statement “In a right circular cone, height, radius and slant height do not always be sides of a right triangle” is true

**☛ Related Questions:**

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