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Angles & Sides of Triangles

Below is a triangle with its various angles and side measures displayed. Play around with the triangle by changing its angles and side measures and take note of any relationships you see.
  • How do angle measures compare to each other (interior vs interior and interior vs exterior)?
  • How do the side lengths compare to each other (what happens if you compare the length of two to the third)?
  • How do the side lengths compare the angle measures?
In addition to moving the triangle around, I encourage you to add up different measurements to see if you see any connections.

Write at least 5 (more are always welcomed) conjectures about the relationships between the angles, sides, and angles and sides.