Pythagorean theorem and common triples

What you'll learn

1. State the Pythagorean theorem (a^2 + b^2 = c^2) and identify the hypotenuse and legs in a right triangle
2. Use the theorem to find a missing side when two sides are known
3. Recognize common Pythagorean triples (3-4-5, 5-12-13, 8-15-17, 7-24-25) and their scalar multiples
4. Apply the converse of the Pythagorean theorem to determine whether three given side lengths form a right triangle
5. Solve SAT-style problems involving the Pythagorean theorem in coordinate geometry and real-world contexts

Prerequisites

• Triangle angle sum and exterior angle theorem