Question

If right triangle ABC below was rotated around side AB, which solid would be produced?

Answer 1

If a right triangle is rotated around one of its perpendicular sides, the resulting solid is a cone.

In this case, if right triangle ABC is rotated around side AB, the resulting solid would be a cone with base radius equal to the height of the triangle and slant height equal to the hypotenuse of the triangle.

When a right triangle is rotated around one of its perpendicular sides, the resulting solid is a cone. This is because the triangle generates a circular base as it revolves, and the height of the cone is determined by the length of the perpendicular side around which it rotates. The base radius of the cone would be equal to the height of the triangle, which is represented by the side BC.

Answer 2

Answer: Option 3.

Explanation:

A rotation around the side AB, means that the side AB remains fixed in the place, and we rotate the vertex C creating in this way a solid figure.

Now, this figure will Create a cone with height AB, and where the radius of the base will be BC. (Where AB is the length of the side AB in the original triangle, and BC is the length of the side BC on the original triangle)

The correct option is option 3.