1. 11.4 Pythagorean Theorem 1 2 3 Definitions Pythagorean Theorem
Practice Problems

2. Definition Right Triangle Hypotenuse Leg Has 1 angle that is 90˚
Denoted as a small square in the corner
Hypotenuse
Longest side
Never touches the 90˚ angle
Leg
Remaining 2 sides of the triangle
Both are always touching the 90˚ angle
Can be different lengths, but both are always smaller than the hypotenuse

3. Right Triangles
Hypotenuse
Leg
Right Angle
Leg

4. Note: it does not matter which leg is called a and b
Pythagorean Theorem
a2 + b2 = c2 c a
where…
a and b are legs b
c is the hypotenuse
Note: it does not matter which leg is called a and b

5. Finding the Length of the Hypotenuse
Find the length of the hypotenuse of a right triangle if a=8 and b=15

6. Finding the Length of a Missing Side25 a 10

7. Checking to See if a Triangle is a Right Triangle
Given the side lengths of 20, 21, 29; determine if the triangle is a right triangle
Both sides are equal, so it is a right triangle

8. More Checking to See if a Triangle is a Right Triangle
Given the side lengths of 8, 10, 12; determine if the triangle is a right triangle
Both sides are not equal, so it is not a right triangle

9. Practice Problems Page 608 Problems 13-28, 41, 42 Even due today
Odd due next class