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Keith’s potw
- 1. Keith’s POTW
- 2. Thales of Miletus proved that any triangle inscribed in a semicircle will be a right triangle. Given a circle of radius a and a smaller circle of radius b = 1/2a, find the ratio of the areas of the triangles ABC and DEC. Both triangles have altitudes intersecting their base at 1/4 the length of their bases. Triangle ABC h1 = (b (b + a))^.5 Triangle DEC h2 = (1/2 (1/2 b + b))^.5