1. 8.1 The Pythagorean Theorem and Its Converse
By Brit Caswell

2. The Pythagorean theorem

3. Pythagorean Triple
With right triangles, there are certain sets of numbers which solve the Pythagorean Theorem with whole numbers. These are called Pythagorean Triples. Examples include: 3, 4, 5 5, 12, 13 8, 15, 17 7, 24, 25 You can multiply Pythagorean Triples by any number and still have a Pythagorean Triple.

4. Pg 492, #1, 2

5. Pg 493, #3
Think, Pair, Share

6. and if the solution is true, the triangle is a right triangle.
The Converse…
This means that if you had all of the numbers, you could plug them into the equation
and if the solution is true, the triangle is a right triangle.

7. A triangle has sides of length 85, 84, and 13. Is the triangle right?
Pg 494, #4
A triangle has sides of length 85, 84, and 13. Is the triangle right?

8. Thm 8.3
Then triangle ABC is obtuse.

9. Thm 8.4
Then, triangle ABC is acute.

10. Pg 495, #5
A triangle has side lengths 6, 11, and 14. Is it acute, right, or obtuse?

11. Is a triangle with side lengths 7, 8, and 9 acute, obtuse, or right?
Exit Ticket
Is a triangle with side lengths 7, 8, and 9 acute, obtuse, or right?