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Triangles - Part I

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Summary
The essence of the content revolves around the fundamental properties and rules governing the geometry of triangles, which are crucial for understanding complex shapes and solving geometry problems on the GRE exam.
  • Every triangle has exactly three sides and three vertices, with the sum of its internal angles always equaling 180 degrees.
  • Triangles cannot have more than one right or obtuse angle; at least two angles must be acute.
  • The largest angle in a triangle is always opposite the longest side, and the smallest angle is always 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
Introduction to Triangles
01:05
Angle Sum Property and Types of Angles
04:48
Triangle Side Relationships and Inequality Theorem
05:32
Applying the Triangle Inequality Theorem

Quiz

Geometry