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Pythagorean Theorem Word Problems
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Warm Up: Find the Missing Lengths Leg: 4 cm, Hypotenuse 9 cm,
Leg: 5 in, Leg 12 in Hypotenuse: 24 ft, Leg: 3 ft
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Objective Students will be able to find the missing lengths in right triangles using the Pythagorean Theorem.
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Exploration Creating the Pythagorean Theorem Model
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Example: A ladder is 12 feet high and is placed on the side of a building 3 feet away. How far up the build is the ladder? If a window is 10 feet above the ground will a person who is 6 feet tall be able to reach the window?
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Example You and your friend are eating hamburgers and shakes at Five Guys. When you are finished you go due North at 5 miles per hour. Your friend goes due East at 7 miles per hour. How far away are you after a half hour? If you both continue at the same rate how far away are you after 1 hour?
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With a Partner… Bubba is painting the outside of the Bubba Gump Shrimp Co. warehouse. He has a ladder that is 24 feet tall. In order to use the ladder safely, he must place it 2 feet from the building. What is the highest point the ladder will reach on the warehouse? If Bubba is 6.5 feet tall could he reach a spot that is 30 feet off the ground?
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On your Own… Charlie Brown and Linus are at the playground. They need to go home for dinner. Charlie Brown lives due South of the play ground, and he walks at a speed of 4 miles per hour. Linus lives due East from the play ground and he walks at a speed of 3 miles per hour. If it takes them 30 minutes to get home how far apart are their homes?
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Exit Ticket and Homework
If a ladder is 8 feet tall and 2 feet from a building, how far up on the building is the ladder? Homework: Worksheet
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