The triangle proportionality theorem states that if a line parallel to one side of a triangle intersects the other two sides at different points, then it divides the remaining two sides proportionally.

Jan 1, 2026 · This is called the Triangle Proportionality Theorem. Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides …

Basic proportionality theorem was proposed by a famous Greek mathematician, Thales, hence, it is also referred to as the Thales theorem. According to the famous mathematician, for any two equiangular …

If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.

The Triangle Proportionality Theorem, also commonly known as the Basic Proportionality Theorem (BPT) or Thales's Theorem, states that if a line is drawn parallel to one side of a triangle and …

The Triangle Proportionality Theorem, also known as the basic proportionality theorem or Thales theorem, helps us understand similar triangles. This theorem was introduced by the Greek …

The triangle proportionality theorem expresses a relationship between elements of a triangle. It states that a line drawn parallel to any of the sides of the triangle and intersecting the other two sides will …

The Triangle Proportionality Theorem is a fundamental geometry principle that explains how parallel lines inside triangles create proportional side lengths.

If a straight line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio. Given : In a triangle ABC shown below, a straight line is parallel to …

• The theorem applies only if the line is parallel to one side of the triangle. • Proportionality means that the ratios of the segments are equal. • This theorem can help solve for unknown lengths in geometric …