A right angled triangle rotate about its any side which makes right angle, the figure is formed

Options

A. Cylinder
B. Prism
C. Sphere
D. Cone

Answer

To solve the problem of determining the figure formed when a right-angled triangle is rotated about one of its sides that makes the right angle, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Triangle**:
Let's denote the right-angled triangle as triangle ABC, where angle C is the right angle. Therefore, sides AB, AC, and BC are the sides of the triangle.

2. **Choose the Side of Rotation**:
We can choose either side AC or BC to rotate the triangle around. For this explanation, let's rotate the triangle around side AC.

3. **Visualize the Rotation**:
When triangle ABC is rotated around side AC, point B will move in a circular path. The distance from point B to line AC remains constant, and as B rotates, it sweeps out a surface.

4. **Determine the Shape Formed**:
As point B moves in a circular path, the surface formed by this rotation is a three-dimensional shape. The height of the shape will be equal to the length of side AC, and the radius of the circular path will be equal to the length of side BC.

5. **Identify the Resulting Figure**:
The shape formed by this rotation is a cone. The height of the cone is the length of side AC, and the radius of the cone's base is the length of side BC.

6. **Conclusion**:
Therefore, when a right-angled triangle is rotated about one of its sides that makes the right angle, the figure formed is a cone.