Pythagorean Adventure

Introduction

You are going to learn about the Pythagorean Theorem so that you can help me figure out who will win a race through the city between a dog and a bird.

Task

Today's task is all about triangles, so you will need 2 of your friends to help you figure out this project. Together you will research the Pythagorean Theorem and how to apply it, before helping me figure out who wins the race. You will use the internet based resources provided in order to help you achieve this task.

Process

Part 1

What type of triangles are concerned with the Pythagorean Theorem?
Define the term "Hypotenuse."
In your own words, define the Pythagorean Theorem, include an equation to support your definition.

Part 2

Can a right triangle be formed with sides of lengths 8, 10 and 15 inches? Why or why not?
You are given a right triangle with sides 7 feet an 8 feet, what would the length of the hypotenuse be?
A firefighter has leaned a ladder against a tree to rescue a kitten, the ladder is 15m long and is placed on the ground 9m away from the base of the tree. How tall is the tree?
Come up with at least two more real life examples or scenarios where the Pythagorean Theorem might be used. You may not include examples which are already provided in the Resources.

Part 3

Come and see Ms. Mc Carthy for the city map.

Bird and Dog Race

Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged in a square grid. They are both standing at 6th and L. Doug can run at an average speed of 30 mi/hr through the streets of Salt Lake, and Bert can fly at an average speed of 20 mi/hr. They are about to race to 10th and E.