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Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle
Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse a b c
b a a b Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! hypotenuse c Note: The order of the two legs doesnt matter!
a b c Pythagorean Theorem Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only!
6 8 x Solve for x. x = 10
4 7 y Solve for y.
6 t 15 Solve for t.
To the nearest tenth of a foot, find the length of the diagonal of a rectangle with a width of 4 feet and a length of 10 feet. 4 ft. 10 ft. x
20 miles A car drives 20 miles due east and then 45 miles due south. To the nearest hundredth of a mile, how far is the car from its starting point? 45 miles x
Informal Proof #1 Inscribe a square within the square.
a b a a a b b b c c c c Informal Proof #1
a b a a a b b b c c c c a b c
b a a a b b c c c a b c
b a a a b b c c c a b c a b c
b a a b c c a b c a b c
b a a b c c a b c a b c b a c
a b c a b c a b c b a c
a b c a b c a b c b a c a b c
a b c a b c b a c a b c
a b c a b c b a c a b c
a b c a b c b a c a b c a b c
a b c b a c a b c a b c a b c
b a c a b c a b c a b c a b c
b a c a b c a b c a b c b a c
a b c a b c a b c b a c
a b a a a b b b c c c c Informal Proof #2 a + b Total Purple Yellow Area Area Area - = - =
8.1: Right Triangles Pythagorean Theorem Properties of Special Right Triangles.
Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Pythagorean Theorem Example 1:Find a Missing Length Example 2:Find a Missing Length Key Concept:Converse.
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Merrill pg. 765, feet meters feet meters meters ° 16. 1° ° 18. x=63°, y=27°, z=63°
FeatureLesson Geometry Lesson Main (For help, go to the Skills Handbook, page 753.) Lesson 8-1 The Pythagorean Theorem and Its Converse Square.
The Pythagorean Theorem Problem 3.1 The longest side of a right triangle is the side opposite the right angle. We call this side the HYPOTENUSE of the.
W-up 1/19 Find the missing value – show all work x 60 x x x 4 8 x.
Unit 2 - Right Triangles and Trigonometry Chapter 8.
Holt Geometry 10-5 Surface Area of Pyramids and Cones 10-5 Surface Area of Pyramids and Cones Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.
Copyright © Cengage Learning. All rights reserved. 4.3 Right Triangle Trigonometry.
8-1 Similarity in Right Triangles One Key Term One Theorem Two Corollaries.
Pythagorean Theorem M8G2. Students will understand and use the Pythagorean theorem. a. Apply properties of right triangles, including the Pythagorean a.
Special Shortcuts for and Triangles.
Introduction to the Pythagorean Theorem. HOW IS THE PYTHAGOREAN THEOREM USED IN EVERYDAY LIFE? The access ramp will be covered with an all-weather carpet.
Formal Geometry 3 rd Nine Weeks Review. #1 Find the geometric mean. 9 and 25.
Slide R - 1 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall Active Learning Lecture Slides For use with Classroom Response.
Exploring Square Roots and the Pythagorean Theorem By: C Berg Edited By: V T Hamilton.
Objective - To use basic trigonometry to solve right triangles. Angle to Angle Relationships Side to Side Relationships Angle to Side Relationships a b.
Two Special Right Triangles Practice Problems. Find the two missing sides for the triangles Y Y X X °
Numbers & Geometry Points and Distances. 6/3/2013 Numbers and Geometry 2 Distance d between numbers a and b d = Example: | = Points and Distances.
Special Right Triangles 1 G.8.2 Special Right Triangles.
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