Chapter 12.5, Problem 1P

Figure 12.68 shows a triangle on a pegboard. (Think of the triangle as made out of a rubber band, which is stretched around three pegs.) Describe or draw at least two ways to move point C of the triangle to another peg (keeping points A and B fixed) in such a way that the area of the new triangle is the same as the area of the original triangle. Explain your reasoning.

 

   Figure 12.68 A triangle on a pegboard