n Learning and Teaching Mathematics - On the areas of triangles bounded by non-parallel sides and diagonals of a trapezium

Volume 2019 Number 27
  • ISSN : 1990-6811



Consider a trapezium ACDB (not necessarily isosceles) with diagonals AD and BC intersecting at E, as illustrated in Figure 1. Since ACD and BCD have equal bases and equal heights, their areas are the same. Now, since CDE is a common portion of these two triangles, it follows that the area of ACE is equal to the area of BDE.

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