OML Search

Prove Triangle Theorems

Videos and lessons with examples and solutions to help High School students learn how to prove theorems about triangles.

Related Topics:
Common Core Geometry
Common Core Mathematics


 

Common Core: HSG-SRT.B.4

Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.

The following figures give the Triangle Proportionality Theorem and the Converse of the Triangle Proportionality Theorem. Scroll down the page for more examples and solutions.

Triangle Proportionality Theorem

Triangle Proportionality Theorem

The Triangle Proportionality Theorem
If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally. The segment joining midpoints of two sides of a triangle is parallel to the third side and half the length. Using the Properties of the Triangle Proportionality Theorem to Solve for Unknown Values



Proof: Converse of the Triangle Proportionality Theorem
Proving -- Converse of the Triangle Proportionality Theorem: If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

Pythagorean Theorem

Prove the Pythagorean Theorem using similar triangles
In this lesson, you will learn how to prove the Pythagorean Theorem using similar triangles.

Pythagorean Theorem Proof Using Similarity
Proof of the Pythagorean Theorem using similarity. Similar Triangles: Ratio of Areas

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.


[?] Subscribe To This Site

XML RSS
follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines