Question: Consider the right triangle ABC as shown in Figure 7. Point A1 is determined by drawing a perpendicular to line AB through C; B1 is

Consider the right triangle ABC as shown in Figure 7. Point A1 is determined by drawing a perpendicular to line AB through C; B1 is formed by drawing a line parallel to AC through A1. This process is continued to produce A2, A3, ...., and B2, B3,..... Find a series for the areas of the triangles formed in this way and show that series sums to the area of (ABC.

Ai A2 A3 A4 B, B BB Figure 7

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