Discovering the Pythagorean Theorem
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.