**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 GMAT problems efficiently.

- Right triangles have one 90-degree angle, with the longest side opposite this angle known as the hypotenuse, and the other two sides called legs.
- The Pythagorean theorem, a^2 + b^2 = c^2, is a fundamental principle that applies exclusively to right triangles, facilitating the calculation of one side's length when the other two are known.
- Pythagorean triplets are sets of three integers that satisfy the Pythagorean theorem and can significantly expedite problem-solving on the GMAT.
- Proportional reasoning and scaling down by the greatest common factor are effective strategies for simplifying calculations with large numbers in right triangle problems.
- Understanding and applying these concepts and techniques can greatly enhance efficiency and accuracy in solving geometry problems on the GMAT.

Chapters

00:00

Understanding Right Triangles

01:13

The Pythagorean Theorem

02:55

Applying the Pythagorean Theorem

06:34

Pythagorean Triplets and Proportional Reasoning