Let's begin by modeling the Pythagorean Theorem numerically.
In your notes, copy and paste the table below.
Length of AC |
Length of BC |
Length of AB |
Area of Square AC |
Area of Square BC |
Area of Square AC + Area of BC |
Area of Square AB |
Use this link to fill in the table. Drag the sliders to adjust the lengths of the legs of triangle ABC. The interactive will calculate the lengths and areas for you.
How does the length of AC compare to the area of Square AC?
Interactive popup. Assistance may be required. Area = (AC)2How does the length of BC compare to the area of Square BC?
Interactive popup. Assistance may be required. Area = (BC)2How does the length of AB compare to the area of Square AB?
Interactive popup. Assistance may be required. Area = (AB)2How does the area of Square AB compare to the sum of the areas of Square AC and Square BC?
Interactive popup. Assistance may be required. The area of Square AB is equal to the sum of the areas of Square AC and Square BC.Write an algebraic equation to show the relationship between the length of AC, the length of BC, and the length of AB.
Interactive popup. Assistance may be required. Combine the information from the previous three questions.