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Right Triangles



Summary
The content provides an in-depth exploration of right triangles, focusing on their properties, the Pythagorean theorem, and strategies for solving related problems efficiently on the GRE exam.
  • Right triangles have one 90-degree angle, with the longest side being the hypotenuse and the other two sides being legs.
  • The Pythagorean theorem, a^2 + b^2 = c^2, is fundamental for solving right triangle problems and only applies to right triangles.
  • Pythagorean triplets are sets of three integers that satisfy the Pythagorean theorem and can significantly speed up problem-solving.
  • Proportional reasoning and scaling down by the greatest common factor can simplify calculations with large numbers before scaling back up to find the solution.
  • Understanding and applying these concepts and strategies can help avoid unnecessary calculations and efficiently solve right triangle problems on the GRE.
Chapters
00:02
Understanding Right Triangles
01:13
The Pythagorean Theorem
06:34
Applying Pythagorean Triplets
08:14
Proportional Reasoning and Simplification