warm-up exercises bell work - marian high school notes to post.pdf · warm-up exercises theorem...
TRANSCRIPT
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 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 3
Find the area of the isosceles triangle with side
lengths 10 meters, 13 meters, and 13 meters.
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
3. Find the unknown side length x. Write your answer
in simplest radical form.
Quick Check