# Discovering the Pythagorean Theorem

## PART A

``

-Set **green side length**(

**leg**) of the triangle equal to

**3**. -Set the

**of the triangle equal to**

**blue side length**(**leg**)**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.

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