1. (The Converse of The Pythagorean Theorem)
Theorem 8-3 (Slightly Reworded):
If the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a
right triangle.
Theorem 8-3 (Reworded Even More):
If…
then the triangle is a right triangle.

2. What happens if…
If…
then the triangle is an acute triangle.
If…
then the triangle is an obtuse triangle.

3. Examples:
Determine whether a triangle exists having side lengths given below. If so, tell whether the triangle is obtuse, acute, or right.

4. Examples: 6 8 x Specify all values of x that make the statement true.
The value of x must be between…
Is an obtuse angle
Is an acute angle
Is a right angle 1 6
10 < x < 14
2 < x < 10
2 and 14
X=10 8 x

5. Is ABC a right triangle? B 20 15 12 A C

6. Chapter 8 Section 3 Homework:
(The Converse of The Pythagorean Theorem)
Homework:
Section 8.3 Written Exercises (p. 297)
#1-14 (all) & #16