Angle Size and Lengths of Sides of a Triangle

Topic:
Angles
What is the relationship between the size of an angle in a triangle and the length of the sides of the triangle? If you consider the sum of the squares built on two sides of a triangle (two sides that define an angle) and the square on the third side (the side opposite the angle) you can find a way to determine if an angle is acute, right, or obtuse. Use the sliders in the dynamic worksheet below to explore the relationship between these quantities and the angle between the sides. Goal: State the relationship you have found in your own words.