1) The document discusses the Pythagorean theorem and how to use it to solve right triangles when given two sides and classify triangles as right, acute, or obtuse. 2) It provides examples of using the Pythagorean theorem to solve for the unknown side of a right triangle and to classify triangles as right, acute, or obtuse based on their sides. 3) The document contains practice problems for students to solve for unknown sides of right triangles using the Pythagorean theorem and to classify triangles as right, acute, or obtuse on their own.

1. 8.1 Pythagorean Theorem
and its Converse
Objectives:
1) Solve right triangles given two sides.
2) Classify triangles
Standard: Geometry 15.0

2. Review:
Triangle Inequality Theorem:
Types of Triangles:

3. Pythagorean Theorem:
a2 + b2 = c2
Ex. 1) Solve for x.
10
x
7

4. Classifying Triangles with the
Pythagorean Theorem
Right Triangle: a2 + b2 c 2
Acute Triangle: a2 + b2 c 2
2 2 2
Obtuse Triangle: a + b c

5. Ex. 2) Classify the triangle as acute,
right, or obtuse.
a) 6, 9, 10 b) 13, 21, 24

6. Me Vs. You!
- Scratch paper
- Fold in 4ths
1 2
3 4

7. Classify as acute, right, or obtuse.
1) 20, 30, 40
2) 30, 40, 50
3) 40, 50, 60
4) Solve for x.
6 6
8