## 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