## Triangles - Part I

Summary

The content provides an in-depth exploration of fundamental properties and rules governing the geometry of triangles, essential for GRE exam preparation.

- The sum of the three angles inside any triangle is exactly 180 degrees, a foundational geometric principle.
- Triangles cannot have more than one right or obtuse angle, ensuring at least two angles are acute.
- The largest angle in a triangle is always opposite the longest side, and the smallest angle is opposite the shortest side.
- The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side.
- For any two sides of a triangle, the length of the third side must be greater than the difference and less than the sum of these two sides.

Chapters

00:01

Fundamental Properties of Triangles

01:05

Angles and Their Sum in Triangles

05:32

Triangle Inequality Theorem

09:13

Determining the Lengths of Triangle Sides

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