Area Theorems Summary


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  • Parallelograms on the same base and between the same parallels are equal in area.
  • Parallelograms between the same parallels and having equal bases are equal in area.
  • Area of a parallelogram is equal to that of a rectangle of the same base and of same altitude.
  • Area of parallelogram = base x height
  • The area of a triangle is half that of a parallelogram with the same base and between the same parallels.

Hence area of the triangle

  • Triangles on the same base and between the same parallels have equal areas.
  • Triangles with equal areas and on the same base have equal corresponding altitudes.


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