Warm-Up
BellExercises
Work
1. Solve x2 = 100.
2. Solve x2 + 9 = 25.
3. Simplify 20.
Warm-Up
Exercises
Notes
Theorem
Pythagorean Theorem
In a right triangle, the square of the length of the hypotenuse is
equal to the sum of the squares of the lengths of the legs.
Draw a picture of this.
http://www.geogebratube.org/student/m149672
Warm-Up1Exercises
EXAMPLE
Find the length of the hypotenuse of the right triangle.
Warm-Up
Exercises
GUIDED
PRACTICE
1. Identify the unknown side as a leg or hypotenuse.
Then, find the unknown side length of the right
triangle. Write your answer in simplest radical form.
Warm-Up
Exercises
GUIDED
PRACTICE
2. Identify the unknown side as a leg or hypotenuse.
Then, find the unknown side length of the right
triangle. Write your answer in simplest radical form.
Warm-Up2Exercises
EXAMPLE
Warm-Up
Exercises
GUIDED
PRACTICE
The Pythagorean Theorem is only true for what type
of triangle?
Warm-Up3Exercises
EXAMPLE
Find the area of the isosceles triangle with side
lengths 10 meters, 13 meters, and 13 meters.
Warm-Up
Exercises
GUIDED
PRACTICE
Find the area of the triangle.
Warm-Up
Exercises
Notes
Definition
Pythagorean Triples
3,4,5
5,12,13
6,8,10
10,24,26
9,12,15
15,36,39
_______
________
8,15,17
16,30,34
24,45,51
________
7,24,25
14,48,50
21,72,75
_______
Find the length of a hypotenuse using two methods
Warm-Up4Exercises
EXAMPLE
Find the length of the hypotenuse of the right triangle.
Warm-Up
Exercises
GUIDED
PRACTICE
Find the unknown side length of the right triangle
using the Pythagorean Theorem. Then use a
Pythagorean triple.
7.
8.
Warm-Up
Exercises
Notes
Proof
Khan Academy
https://www.khanacademy.org/math/basic-geo/basic-geopythagorean-topic/basic-geo-pythagorean-proofs/v/garfield-sproof-of-the-pythagorean-theorem
Cut-the-Knot
http://www.cut-the-knot.org/pythagoras/
One in the book (pg. 428)
Daily
Homework
Warm-Up
Exercises
Quick
CheckQuiz
1.
Find the length of the hypotenuse of the right
triangle.
Daily
Homework
Warm-Up
Exercises
Quick
CheckQuiz
2.
Find the area of the isosceles triangle.
Daily
Homework
Warm-Up
Exercises
Quick
CheckQuiz
3.
Find the unknown side length x. Write your answer
in simplest radical form.
Warm-Up
Exercises
For Tomorrow
Homework
HW: 7.1 (pg.431-432) #6,7,10,12,14,26,31