ABCD is a parallelogram. Find the ratio of the area of the triangle ABC to the area of the parallelogram ABCD.



Step by Step Explanation:

  1. We know that the opposite sides of a parallelogram are equal in length. So in triangles BCA and DCA:
    AD = BC   (Opposite sides of a parallelogram)
    BA = CD   (Opposite sides of a parallelogram)
    AC = AC   (Common side)
    We may say that all the sides of these two triangles are equal.
  2. This also means that the area of both the triangles is equal which is equal to half the area of the parallelogram.
  3. This means the ratio of the area of triangle ABC to the parallelogram ABCD will be 1:2.

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