Side Splitter Theorem Calculator

Length of side A to B:

Length of side B to D:

Length of side A to C:

Calculate

 

About Side Splitter Theorem Calculator (Formula)

The Side Splitter Theorem Calculator employs the Side Splitter Theorem, a fundamental concept in geometry. The theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, it divides those sides proportionally.

The formulas used in the calculator are as follows:

1. The Side Splitter Theorem: AC/CE=AB/BD​
2. The formula for calculating the length of side CE=AC×BD/AB​

Where:

• $AC$ is the length of side A to C.
• $CE$ is the length of side C to E.
• $AB$ is the length of side A to B.
• $BD$ is the length of side B to D.

These formulas are used to calculate and compare the relative lengths of the sides of a triangle when a line parallel to one side intersects the other two sides. The Side Splitter Theorem has various applications in geometry and engineering, providing a basis for solving problems involving similar triangles.