Applying the Pythagorean Theorem

Slides:

Advertisements

Similar presentations

W-up 1/19 Find the missing value – show all work x 60 x

Advertisements

Pythagorean Theorem iRespond Review CCGPS Math 8 Palmer Middle School.

PYTHAGOREAN THEOREM.

Pythagorean Theorem Story Problems Goal: Solve for an unknown measurement of using the Pythagorean Theorem.

Real-life Application of the Pythagorean Theorem

Pythagorean Theorem and Rectangular Prisms. Learning Target I can solve real-world and mathematical problems using the Pythagorean Theorem to find a diagonal.

(3, 4, 5)(6, 8, 10)(12, 16, 20) (5, 12, 13)(10, 24, 26) (7, 24, 25) (8, 15, 17) (9, 40, 41) (11, 60, 61) (12, 35, 37) (20, 21, 29) PYTHAGOREAN TRIPLES.

Triangle ABC is an isosceles triangle

Exercise Solve x 2 = 4. x = ± 2. Solve x 2 = – 4. no real solution Exercise.

5.7 The Pythagorean Theorem. a 2 + b 2 = c 2 The Pythagorean Theorem.

Pythagorean Theorem Formula: a2 + b2 = c2 This formula helps determine two things: the lengths of the different sides of a right triangle, and whether.

EXAMPLE 2 Standardized Test Practice SOLUTION =+.

EXAMPLE 2 Standardized Test Practice SOLUTION =+.

Then/Now You have already found missing measures of similar triangles. (Lesson 6–7) Use the Pythagorean Theorem to find the length of a side of a right.

Pythagorean Theorem.

The Pythagorean Theorem

THE PYTHAGOREAN THEOREM. PYTHAGOREAN THEOREM REAL LIFE EXAMPLE The following is a rule of thumb for safely positioning a ladder: The distance from the.

Right Triangles And the Pythagorean Theorem. Legs of a Right Triangle Leg -the two sides of a right triangle that form the right angle Leg.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 5 Polynomials and Factoring.

Pythagorean Theorem Two sides of a right triangle measure 6 feet and 8 feet. What is the length of the hypotenuse?

Apply the Pythagorean Theorem

Step 1: Square Longest side Step 2: Add Step 3: Square Root Step 1: Square Shorter side Step 2: Subtract Step 3: Square Root 7cm 9cm x 4cm 8cm x 12cm 7cm.

1 The Pythagorean Theorem. 2 A B C Given any right triangle, A 2 + B 2 = C 2.

Sec: 7.1 and 7-2 Sol: G.7. Find the geometric mean between each pair of numbers. 4 and 9.

Pythagorean theorem! By : Katey Lynch. History of the Pythagorean theorem! Well it all started with a Greek mathematician Pythagoras. He discovered something.

CCII Unit 5 Warm-Ups. Warm-Ups (Monday 11/17) a) Describe the transformation from the parent graph b) Domain:c) Range: d) Vertex:e) Axis of Symmetry:

Warm up r = -3 k = -3 x = – 6r = 2r k – 5 = 7k + 7

Pythagorean Theorem. Warm Up Objective DOL SWBAT solve and interpret problems with the Pythagorean Theorem Given 2 CR problems, SW solve and interpret.

Pythagorean Theorem and it’s Converse. Pythagorean Theorem Pythagorean Theorem: used for right triangles, it is a tool used to solve for a missing side.

Pythagorean Theorem Test Review

PSSA Jeopardy Probability Combination Linear equations Perimeter and Area Pythagorean Theorem $100 $200 $300 $400.

Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.

WARM UP What is the Pythagorean Theorem? You place a 10-foot ladder against a wall. If the base of the ladder is 3 feet from the wall, how high up the.

ENTRY TASK – Find the value of x and y. 3. Find the geometric mean between 3 and

SineCosineTangentPythagoreanTheorem Mixed Word Problems(Regents)

The Pythagorean Theorem and its Converse CHAPTER 8.2.

PYTHAGOREAN THEOREM WORD PROBLEMS OBJECTIVE: Students will solve for missing values using the Pythagorean theorem for word problems.

Warm up Solve – 6r = 2r k – 5 = 7k (x + 4) = 6x r = -3 k = -3 x = 2.

Similar Triangles Application

Section 8-1. Find the geometric mean between each pair of numbers. 4 and 9.

Geometry/Trig 2Name: ________________________________ Pythagorean Theorem Problem SolvingDate: _________________________________ Directions: Complete each.

Parts of a Right Triangle A B C Leg Hypotenuse Acute Angle Right Angle Acute Angle R e m e m b e r t h a t t h e h y p o t e n u s e i s a l w a y s t.

Warm-Up Find the group members with the same letter on their worksheet as you. Complete problems #3 & #4. Take your homework with you to be checked!

1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4

Solving Applications 5.8 Applications The Pythagorean Theorem.

W-up Find the missing value – show all work x 60 x x 9

11.2 Pythagorean Theorem.

The Pythagorean Theorem

Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.

8.2 The Pythagorean Theorem & Its Converse

Unit 5: Pythagorean Theorem

Unit 5: 4 Forms and Pythagorean Theorem

Pythagorean Theorem Practice, Practice, Practice!.

Pythagorean Theorem.

Bellwork (block 2) Textbook pg 415 (ALL)

Pythagores Theorem Application

Pythagorean Theorem.

The Pythagorean Theorem

Using Pythagoras’ Theorem

Pythagoras Theorem Application

Solve for the unknown side or angle x

1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4

Pythagorean Theorem OR.

C.L.E.A.R. Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore. He crosses the river but ends.

Milestone review Unit 1: Transformations and angle relationships

Applying the Pythagorean Theorem

Presentation transcript:

Applying the Pythagorean Theorem Teacher Twins©2014

Warm Up 1. 2. 3. 4.

Warm Up Answers 12.04 m 9.6 in 6.4 cm 10.7 cm

Applying the Pythagorean Theorem

The base of 1 4 foot ladder is 6 feet from the wall The base of 1 4 foot ladder is 6 feet from the wall. How high can the ladder reach? Draw a picture. i 14 ft c ? a 6 ft b

Joshua has a rectangular work table Joshua has a rectangular work table. The sides of the table are 40 inches by 25 inches. What is the measure of the diagonal of the table? Draw a picture and solve.

Pairs Work

Name _________________________ Stephen set a 20 ft ladder against his house. The top of the ladder reached the bottom of his window that is 12 ft above the ground. How far way was the ladder from the wall? The skateboard ramp is balanced on a stack of cement blocks that is 5 ft high. The ramp is 7 ft away from the bottom of the stack of cement blocks. How long is the ramp? Name ________________________ 1. Hannah made a ramp for her grandfather who was in a wheelchair. The ramp was 10 ft long and it was 5 ft away from the porch steps. How high were the porch steps? 2. Nick put a ladder against the tree so he could climb up and rescue his cat. The cat was 12 ft up in the tree. He had the ladder 3 ft away from the base of the tree. How long was the ladder?

3. A television measures 36 in by 24 in. How long is the diagonal? Name _________________________ 3. A television measures 36 in by 24 in. How long is the diagonal? 4. The swimming pool has a diagonal measure of 30 ft and a width of 14 ft. What is the length of the pool? Name ________________________ 3. A computer screen measures 10 in by 12 in. What is the diagonal of the screen? 4. A rectangular garden has a diagonal measure of 45 ft and a length of 38 ft. What is the width of the garden?

Closure Find the measure of the diagonal of a door that measures 6 ft by 4 ft.