If a line divides two sides of a triangle proportionality, then it is parallel to the third.
Triangle Proportionality:
- The intercept theorem often referred to as Thales' theorem, the basic proportionality theorem, or the side-splitter theorem is a crucial concept in introductory geometry that deals with the ratios of different line segments produced when two intersecting lines are intercepted by a pair of parallels.
- It is analogous to the ratios in the theorem of the related triangle.
- The Greek mathematician Thales is traditionally credited with creating it.
- Although its first documented proof is in Euclid's Elements, it was known to ancient Babylonians and Egyptians.
Therefore, the answer is that if a line divides two sides of a triangle proportionality, then it is parallel to the third.
Know more about Proportionality here:
https://brainly.com/question/8160153
#SPJ2
