Select any vertex on the triangle to move. Be sure to look at right triangles, acute triangles and obtuse triangles.

What do you notice about the area of the two smaller squares compared to the larger square when the triangle is a RIGHT triangle?
What do you notice about the area of the two smaller squares compared to the larger square when the triangle is an ACUTE triangle (all angles are less than 90 degrees)?
What do you notice about the area of the two smaller squares compared to the larger square when the triangle is an OBTUSE triangle (one angle is more than 90 degrees)?