In trapezoid ABCD with bases BC and AD, diagonals AC and BD meet at point O.
| July 23, 2021 | education
In trapezoid ABCD with bases BC and AD, diagonals AC and BD meet at point O. Prove that the areas of triangles AOB and COD are equal.
Consider triangles ABC and BCD. You can see that their heights, CH and AH1 are the same. Since these triangles have a common base, these triangles are of equal size. If you separate the triangle BOC from them, you will also get triangles AOB and COD of the same area, etc.
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