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CBSE Class 9 Answered

Prove that the diagonal of a parallelogram divides it into two triangles of equal area.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer
Given: A parallelogram ABCD.
To prove: ar (ABC) = ar (CDA)
In ABC and ADC,
AB = CD                                             (opposite sides of a parallelogram)
BC = DA                                             (opposite sides of a parallelogram)
AC = CA                                             (common)
ABC CDA                             (SSS)
Hence, ar (ABC) = ar (CDA)               (congruent figures have equal areas)
Answered by | 04 Jun, 2014, 03:23: PM

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