Discovering the Pythagorean Theorem

Author:mrs_shubert, Terry Lee Lindenmuth, JAIRHUIZAR

PART A

-Set green side length (leg) of the triangle equal to 3. -Set the blue side length (leg) of the triangle equal to 4. **Take a screenshot of your work. Paste it into a Google Doc. Q1: What is the length of the red side (hypothenuse) of the triangle? Q2: What is the area of the green square? Q3: What is the area of the blue square? Q4: What is the area of the red square?

PART B

Q5: Keeping the same measures of the triangle as the previous question. Do you find a relationship between the area of the blue square, the green square and the red square? (Multiple Choice answers on Google Forms)

PART C

-Set blue side length (leg) of the triangle equal to 5. -Set the green side length (leg) of the triangle equal to 12. **Take a screenshot of your work. Paste it into the same Google Doc from Part A. Q6: What is the length of the red side (hypotenuse) of the triangle? Q7: What is the area of the green square? Q8: What is the area of the blue square? Q9: What is the area of the red square?

PART D

Q10: Keeping the same measures of the triangle as the previous question. Do you find a relationship between the area of the blue square, the green square and the red square? (Multiple Choice answers are on Google Forms!)

PART E

Q11: Based on what you have done today, which of the equations shows the relationship between the side lengths of a right triangle where a = leg (one of the shorter sides) b = leg (the other shorter side) c= hypotenuse (longest side) (Multiple Choice answers are on Google Forms!)

PART F

There is one last question in Google Forms. Use what you have learned to find the answer.