### Halfplane: Definition, Detailed Examples, and Meaning

If we draw a vertical line in a plane, all the points on one side of the line will make a half-plane. Whenever we draw a straight line in the coordinate plane, it will divide the plane into two halves, and if we take all the points on one side, then the set of those […]

### How to Find the Volume of the Composite Solid?

To find the volume of a composite solid, we add the volumes of all the solid figures combined that make the composite solid. The calculated volume then can also be used to calculate the surface area of the solid further. In this guide, we will learn what a solid is, how you calculate its volume, […]

### Find the Area of the Shaded Region of a Circle: Clear Examples

To find the area of the shaded region of a circle, we need to know the type of area that is shaded. The general rule to find the shaded area of any shape would be to subtract the area of the more significant portion from the area of the smaller portion of the given geometrical […]

### Triangle Proportionality Theorem – Explanation and Examples

The triangle proportionality theorem states that if we draw a line parallel to one side of a triangle so that it intersects the remaining two sides, then both sides are divided in the same proportion or divided equally. The triangle proportionality theorem is also known as the side-splitting theorem as it splits both sides into […]

### Hinge Theorem – In-Depth Explanation and Detailed Examples

Hinge theorem states that if two sides of a set of two given triangles are congruent, the triangle with a greater internal angle will have the longer third/remaining side.  Consider an example of a crane with a beam that can move at different angles. Now, suppose two cranes are equal in length, and the length […]