Triangle Sum Theorem

Discovering Triangle Sum Theorem

Move around points A, B, and C to form at least three different types of triangles. Record the sum of the interior angles for each triangle you create.

Add the angles of the triangle you created

[math]\angle[/math]A + [math]\angle[/math]B + [math]\angle[/math]C = ?

Change the angles of your triangle. Add the angles of this 'different' triangle.

[math]\angle[/math]A + [math]\angle[/math]B + [math]\angle[/math]C = ?

Change the angles of the triangle one more time. Add the angles of this third triangle.

[math]\angle[/math]A + [math]\angle[/math]B + [math]\angle[/math]C = ?

What do you notice about the sum of all three interior angles for each triangle you created?

Triangle Sum Theorem

Discovering Triangle Sum Theorem

Add the angles of the triangle you created

Change the angles of your triangle. Add the angles of this 'different' triangle.

Change the angles of the triangle one more time. Add the angles of this third triangle.

Information: Triangle Sum Theorem