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Right Triangles

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.
Understanding Right Triangles
The Pythagorean Theorem
Applying Pythagorean Triplets
Proportional Reasoning and Simplification