Basic Proportionality Theorem
What is Basic Proportionality Theorem?
In simple words, Basic Proportionality Theorem states that the line joining the points on the sides of triangle if parallel then always divide the sides in equal proportions.
Why is Basic Proportionality Theorem called Thales Theorem?
The basic proportionality theorem (BPT) is called Thales Theorem as it is given by the Greek Mathematician cum philosopher Thales of Miletus.
Can Basic Proportionality Theorem (BPT) be applied to any triangle?
Yes, Basic Proportionality Theorem can be applied to any triangle regardless of its size and shape.
Can Thales Theorem be applied if the line joining the sides is not parallel to the base of triangle?
No, the Thales Theorem can only be applied if the line joining the sides of a triangle is parallel as it is the necessary condition for the theorem.
What is converse of Basic Proportionality Theorem?
Converse of the Basic Proportionality Theorem states that if a line intersects two sides of a triangle and divides the sides proportionally, then the line is parallel to the third side of the triangle.
Basic Proportionality Theorem (BPT) Class 10 | Proof and Examples
Basic Proportionality Theorem: Thales theorem is one of the most fundamental theorems in geometry that relates the parts of the length of sides of triangles. The other name of the Thales theorem is the Basic Proportionality Theorem or BPT.
BPT states that if a line is parallel to a side of a triangle that intersects the other sides into two distinct points, then the line divides those sides in proportion.
Let’s learn about the Thales Theorem or Basic Proportionality Theorem in detail, including its statement, proof, and converse as well.
Table of Content
- Basic Proportionality Theorem or Thales Theorem Statement
- Basic Proportionality Theorem Proof
- Construction
- Basic Proportionality Theorem Proof
- Corollary of Thales Theorem
- Articles related to Basic Proportionality Theorem:
- Converse of Basic Proportionality Theorem (BPT)
- Proof
- Construction
- Proof
- Solved Examples on Basic Proportionality Theorem
- Practice Problems on Basic Proportionality Theorem