Please notice that each angle and its opposite side (the side not touching the angle) are the same color. [br][br]We are now going to explore some relationships that angles have to their opposite sides, and relationships that sides have to their opposite angles.
Move the vertices of the triangle to make ∠ABC largest angle. Which SIDE is the longest?
Move the vertices of the triangle to make ∠BAC the largest angle. Which SIDE is the longest?
Move the vertices of the triangle to make ∠ACB the smallest angle. Which SIDE is the shortest?
Move the vertices of the triangle to make the side AB the biggest side. Which ANGLE is the biggest?
Move the vertices of the triangle to make the side BC the biggest side. Which ANGLE is the biggest?
Move the vertices of the triangle to make the side AC the shortest side. Which ANGLE is the smallest?
Move the vertices of the triangle to make the side AB the shortest side. Which ANGLE is the smallest?
What patterns do you notice from this activity? What is the relationship between the size of angles and the length of sides?
Move the vertices to make an [b]isosceles [/b]triangle. What do you notice about the angles?