Pythagorean Exploration

Use the area and length tools to explore the relationship between the lengths of side A, B, and C and the squares attached to the triangle.
How is the length of a side related to the area of the square attached to that side?
How are the three squares related to each other?
How can you find the [i]area[/i] of [color=#6aa84f]square C [/color]if you have the [i]area[/i] of [color=#3c78d8]square A[/color] and the [i]area[/i] of [color=#ff0000]square B[/color]?
[left][/left]How can you find the [i]length[/i] of [color=#6aa84f]side C [/color]if you have the [i]length[/i] of [color=#3c78d8]side A[/color] and the [i]length[/i] of [color=#ff0000]side B[/color]?
Write a [i]formula[/i] relating A = [i]length[/i] of [color=#3c78d8]side A[/color], B = [i]l[/i][i]ength[/i] of [color=#ff0000]side B[/color], and C = [i]length[/i] of [color=#6aa84f]side C[/color].
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Information: Pythagorean Exploration