Advanced Geometry

Pythagorean Theorem Pile-up Project

(Due Wednesday, March 24, 2021, @3:15PM)

Your goal is to ​create ​a pile-up problem similar to the problems we have solved in class. You should use the given triangle pile-up as your base.

You can add more triangles if needed.

Your pile-up problem must include the following:

▪ At least ​three different ​Pythagorean triples with at least ​two ​from different families ​______ / 3 points   ▪ At least ​one ​30°-60°-90° right triangle pattern ​______ / 1 point   ▪ At least ​one ​45°-45°-90° right triangle pattern ​______ / 1 point   ▪ Only whole or simplified radicals (No decimals!) ​______ / 1 point  

At some point in your pile-up, you should include given information that is:

▪ Side lengths ​______ / 0.5 point   ▪ Angle measures ​______ / 0.5 point   ▪ Partial sides ​______ / 0.5 points   ▪ Sides or angles marked as congruent ​______ / 0.5 point   ▪ Reasonable (sides that appear longer are longer) ​______ / Minus 1 point if not  reasonable  

As you build your pile-up, remember that each triangle should have some missing

information that must be solved in order to move on to the next triangle. You should

also be sure that there is enough information given so that the triangle is solvable.

Unsolved pile-up is solvable ​______ / 1 point  

Solved triangle is accurate ______ / 1 point  

Total​:​ ______ / 10 points  

**I recommend working through your triangle pile-up multiple times to make sure

that is the case. Remember, all answers should be whole numbers or simplified

radicals, never decimals.

To submit your project:

1. Only one person in your group needs to submit slides/work via google classroom.

**Note: Your partner will complete a review of your contributions to this project. This

can affect your final grade as I reserve the right to increase or decrease your final score

based on this review.**

0 1 2 3 4

52% 64% 76% 88% 100%

incomplete 1 - 5.9 points 6 - 7.4 points 7.5 - 9.4 points 9.5 - 10 points