Proposed
Problem 2 What is the relationship between the area of each of the four triangles obtained by joining the midpoints of the sides of a triangle and the area of the original triangle? Conjecture Surface area of each small triangle = ¼ Surface area of the original triangle. |
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Drag free points A, B, or C and observe triangles surface areas to realize that the surface area of each small triangle = ¼ Surface area of the original triangle. |