Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.

Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.

Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.

Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.

For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.

1. You have a ladder that is 10 feet tall and you place it on the ground 6 feet away from your house, which you plan to paint. How far up will the ladder reach? (Ans: 8 feet)

2. I think drawing a diagram of this is pretty self-explanitory. Just remember to lable the ladder as 10 feet, the ground as 6 feet, and the house as 8 feet.

3. There wasn't really an equation in the question, but if you draw a triangle you'll need to solve for the third side. It would be 8 feet, but if you consider the pythagoran therom:

100ft(c^2, the hypotenuse, or the ladder)- 36 ft(a^2, or the ground)= 64, the square root of 64 would give you 8. You can write it out symbolically, but I'm typing and there's not much I can do on here.