2. Your project will consist of you using the Pythagorean theorem to calculate the distance of the hypotenuse from one city to another after obtaining the distances for the two legs from an online mapping program. Whether you choose one of the following or choose your own cities follow these directions for obtaining your map. 1. Using Google Maps or MapQuest, find the three cities that form a right triangle. Left-click and hold the mouse to move the map to any location on the planet. Zoom in and out until all three cities fill the map window. a. Forth Worth, Waco, Palestine b. Dallas, Houston, Austin c. Denver, Kansas City, Cuidad Juarez d. Piedras Negras, Abilene, Nacadoges e. Baytown, Abilene, Wichita Falls f. Piedras Negras, College Station, Corpus Cristi g. Beaumont, Cuidad Acuña, Amarillo h. Wahington, Toronto, New York i. Las Vegas, San Francisco, San Diego 2. Use the print screen button to copy your map. Copy and paste your map to power point. 3. Insert a triangle onto your map and move the triangle around until your 3 cities are at the vertices of your right triangle. 4. On a separate slide, insert a right triangle, then add labels for the three sides and three City Names. 5. On this same slide, give the name of side c. 6. On another slide, write out the definition for the Pythagorean Theorem. 7. On the same slide, use a “Distance Finder” website to find the actual distance between the cities on side a, and the cities on side b of the right triangle. 8. Use the Pythagorean Theorem to solve for the distance of side c. 9. Next, solve the following problem. Traveling at a rate of 50 miles per hour, calculate how long it will take to make a round trip journey to all three cities, including an 8-hour sightseeing tour in each city. Show this on a separate slide. 10. Using Custom Animation in PowerPoint, create a presentation in which you move a vehicle around to each city on your map. Choose a vehicle using clip art or a photo. 11. A s your vehicle reached each city, stop and present 10 facts about the city (see list provided). Show these facts on a separate slide for each city.

3. A Tale of Three Cities The Pythagorean Theorem Step-by-Step Instructions Fact Sheet City Name 1.State 2.Year Founded 3.Current Population 4.Longitude and Latitude 5.Weather Fact 6.Current Mayor 7.Form of Government 8.Largest Employer 9.Two Colleges 10.A fun activity that you would do if you were there.

5. a b c South Bend DaytonPittsburgh Hypotenuse

6. The equation for the Pythagorean Theorem is a² + b² = c². Distance between South Bend and Dayton = 94 miles. Distance between Dayton to Pittsburgh = 357 miles. 94² + 357² = c² 8836 + 127449 = c² 136285 = c² Distance between Pittsburgh to South Bend = 369 miles. 369 = c

7. Traveling at a rate of 50 miles per hour with an 8- hour sightseeing tour in each city this trip will take about 40 hours. Distance = Rate x Time 820 = 50t50 t = 16 + 24 = 40

9. Dayton 1.Indiana 2. 1827 3.1524 4.40°22′28″N 86°46′10″W 40°22′28″N 86°46′10″W 5.Dayton-area historical tornado activity is above Indiana state average. It is 208% greater than the overall U.S. average. 6.Incorporated Town

10. South Bend 1.Indiana 2.1865 3.100,886 4.41°40′21″N 86°15′19″W 41°40′21″N 86°15′19″W 5.42 days with thunderstorms occur each yearthunderstorms 6.Pete Buttigieg 7.Strong Mayor-Council 8.Memorial Health System 9.Indianan University South Bend, Brown Mackie College 10.Visit the East Race Waterway

11. Pittsburgh 1.Pennsylvania 2.1758 3.305,841 4.40°26′30″N 80°00′00″W 40°26′30″N 80°00′00″W 5.an average of 59 clear days and 103 partly cloudy days per year, while 203 days are cloudy 6.Bill Peduto 7.Mayor-Coucil 8.University of Pittsburgh Medical Center 9.Carnegie Mellon University, Duquenese University 10.Attend the annual Pittsburgh Vintage Grand Prix