Given: Triangle with sides

Guillermo Bautista, Created with GeoGebra

*and***a***and hypotenuse***b****and three squares containing***c***,***a***and***b***.***c*Guillermo Bautista, Created with GeoGebra

**Questions**- What are the areas of the green square and the red square?
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*p*to the extreme right. What types of quadrilaterals were formed from the two squares? - What can you say about the areas of squares in Question 1 and the areas of quadrilaterals in Question 2?
- Move slider
*q*to the extreme right. What type of quadrilaterals were formed? - What can you say about the quadrilaterals formed in Question 1 and the quadrilaterals in Question 4?
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*r*to the right. What do you observe? - What can you say about the areas of the red square, green square, and the area of square containing
?**c** - In terms of
,*a*, and*b*, what equation can be formed relating the areas of the three squares?*c*

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