Do Now:

1. Solve for the missing leg

​2. Solve for b

Theorem 8.1

The Pythagorean Theorems

Theorem 8.2 (converse)

Let's work this together!

What is a Pythagorean Triple?

Some numbers seem to work perfectly in the Pythagorean Theorem, like 3, 4, and 5, which is 3² + 4² = 5². Sets of positive, whole numbers that work in the Pythagorean Theorem are called Pythagorean triples.

Most used Pythagorean Triples (write these down!)

• 3-4-5 (along with its multiples, example: 6-8-10)

• 5-12-13

• 8-15-17

• 7-24-25

• 9-40-41

• 11-60-61

Classifying Triangles

Classifying Right Triangles

• If c² = a² + b² --> ____ triangle

• If c² < a² + b² --> _____ triangle

• If c² > a² + b² --> _____ triangle

​Obtuse
Right
Acute

Which one is not a right triangle?