Pythagorean Theorem Word Problems.notebook...Pythagorean Theorem Word Problems.notebook November 30,...

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Pythagorean Theorem Word Problems.notebook November 30, 2016 MCC8.G.7 Pythagorean Theorem Real World and 3D Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in realworld and mathematical problems in two and Three dimensions. Joshua lives 8 miles directly south of the school. Mark lives 6 miles directly west of the school. What is the shortest distance between Mark's house and Joshua's house?

Transcript of Pythagorean Theorem Word Problems.notebook...Pythagorean Theorem Word Problems.notebook November 30,...

Page 1: Pythagorean Theorem Word Problems.notebook...Pythagorean Theorem Word Problems.notebook November 30, 2016 The house is 12 feet tall. The man is 5 feet from the house. 1) Label the

Pythagorean Theorem Word Problems.notebook November 30, 2016

MCC8.G.7

 Pythagorean Theorem  

Real World and 3­D 

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real­world and mathematical problems in two and Three dimensions.

Joshua lives 8 miles directly south of the school. Mark lives 6 miles directly west of the school. What is the shortest distance between Mark's house and Joshua's house?

Page 2: Pythagorean Theorem Word Problems.notebook...Pythagorean Theorem Word Problems.notebook November 30, 2016 The house is 12 feet tall. The man is 5 feet from the house. 1) Label the

Pythagorean Theorem Word Problems.notebook November 30, 2016

The house is 12 feet tall.  The man is 5 feet from the house.1)  Label the right triangle. 2) Solve for the missing length. 

A 13 feet ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 13 feet Will the ladder reach the top of the wall? 

Page 3: Pythagorean Theorem Word Problems.notebook...Pythagorean Theorem Word Problems.notebook November 30, 2016 The house is 12 feet tall. The man is 5 feet from the house. 1) Label the

Pythagorean Theorem Word Problems.notebook November 30, 2016

A

B

Page 4: Pythagorean Theorem Word Problems.notebook...Pythagorean Theorem Word Problems.notebook November 30, 2016 The house is 12 feet tall. The man is 5 feet from the house. 1) Label the

Pythagorean Theorem Word Problems.notebook November 30, 2016

The local fire department has been called to an apartment fire in downtown Atlanta.  They need to rescue a family that is on the 3rd floor and want to make sure they brought the correct ladder to perform the rescue.  The height they need to reach is 30 feet and they know that they must be at least 20 feet from the bottom of the building to clear the awning. If the fire department brought a 35 foot ladder, can they save the family?

Page 5: Pythagorean Theorem Word Problems.notebook...Pythagorean Theorem Word Problems.notebook November 30, 2016 The house is 12 feet tall. The man is 5 feet from the house. 1) Label the

Pythagorean Theorem Word Problems.notebook November 30, 2016

1. A teenage boy is 6 ft tall and casts a shadow of 8ft.

What is the distance from the top his head to the end of his shadow?

2. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?

3. A 20­ft ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. To the nearest tenth of a foot, about how high does the top of the ladder reach?

4. A glider flies 8 miles south from the airport and then 15 miles east. Then it flies in a straight line back to the airport. What was the distance of the glider’s last trip back to the airport?

Page 6: Pythagorean Theorem Word Problems.notebook...Pythagorean Theorem Word Problems.notebook November 30, 2016 The house is 12 feet tall. The man is 5 feet from the house. 1) Label the

Pythagorean Theorem Word Problems.notebook November 30, 2016

6. A flag pole is 20ft high and cast a shadow of 5ft. What is the distance from the top of the pole to the end of the shadow?

7. A building cast a shadow of 10ft. The length from the top of the building to the end of the shadow is 26ft. How tall is the building?

8.A children’s book is 4 inches by 3 inches. What is the diagonal of the book?

9. An Ipod touch is 5in and the diagonal measures 7in. What is the width of the Ipod touch?

Page 7: Pythagorean Theorem Word Problems.notebook...Pythagorean Theorem Word Problems.notebook November 30, 2016 The house is 12 feet tall. The man is 5 feet from the house. 1) Label the

Pythagorean Theorem Word Problems.notebook November 30, 2016

http://www.regentsprep.org/Regents/math/ALGEBRA/AT1/PracPyth.htm

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