Warm-Up Exercises

2. Solve x2 + 9 = 25.

1. Solve x2 = 100.

3. Simplify 20.

Bell Work

Warm-Up Exercises

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

Notes

Warm-Up ExercisesEXAMPLE 1

Find the length of the hypotenuse of the right triangle.

Warm-Up ExercisesGUIDED PRACTICE

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.

1.

Warm-Up ExercisesGUIDED PRACTICE

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.

2.

Warm-Up ExercisesEXAMPLE 2

Warm-Up ExercisesGUIDED PRACTICE

The Pythagorean Theorem is only true for what type

of triangle?

Warm-Up ExercisesEXAMPLE 3

Find the area of the isosceles triangle with side

lengths 10 meters, 13 meters, and 13 meters.

Warm-Up ExercisesGUIDED PRACTICE

Find the area of the triangle.

Warm-Up Exercises

Definition

Pythagorean Triples

3,4,5 5,12,13 8,15,17 7,24,25

6,8,10 10,24,26 16,30,34 14,48,50

9,12,15 15,36,39 24,45,51 21,72,75

_______ ________ ________ _______

Notes

Warm-Up ExercisesEXAMPLE 4 Find the length of a hypotenuse using two methods

Find the length of the hypotenuse of the right triangle.

Warm-Up ExercisesGUIDED PRACTICE

Find the unknown side length of the right triangle

using the Pythagorean Theorem. Then use a

Pythagorean triple.

7. 8.

Warm-Up Exercises

Proof

Khan Academy

https://www.khanacademy.org/math/basic-geo/basic-geo-

pythagorean-topic/basic-geo-pythagorean-proofs/v/garfield-s-

proof-of-the-pythagorean-theorem

Cut-the-Knot

http://www.cut-the-knot.org/pythagoras/

One in the book (pg. 428)

Notes

Warm-Up ExercisesDaily Homework Quiz

1. Find the length of the hypotenuse of the right

triangle.

Quick Check

Warm-Up ExercisesDaily Homework Quiz

2. Find the area of the isosceles triangle.

Quick Check

Warm-Up ExercisesDaily Homework Quiz

3. Find the unknown side length x. Write your answer

in simplest radical form.

Quick Check

Warm-Up Exercises

HomeworkHW: 7.1 (pg.431-432) #6,7,10,12,14,26,31

For Tomorrow