If two sides ABAB and BC,BC, and the median ADAD of ABCABC are correspondingly equal to the two sides PQPQ and QR,QR, and the median PMPM of PQR.PQR. Prove that ABCPQR.ABCPQR.


Answer:


Step by Step Explanation:
  1. We are given that AB=PQ, BC=QR, and AD=PM.AB=PQ, BC=QR, and AD=PM.

    Let us now draw the triangles and mark the equal sides and medians.
      A B C D P Q R M
  2. We need to prove that ABCPQR.ABCPQR.
  3. It is given that [Math Processing Error] Now, in ABD and PQM, we have [Math Processing Error]
  4. As corresponding parts of congruent triangles are equal, we have B=Q   (2)
  5. In ABC and PQR, we have [Math Processing Error]
    Hence Proved.

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