Answer :


Given, a parallelogram of which adjacent sides are 25 cm and 15 cm and length of one diagonal is 20 cm.


Consider a parallelogram ABCD, adjacent sides are given, AB=25cm


BC=15cm


And diagonal AC=20cm


Semi perimeter of ∆ABC, S =


S = 30cm


Hence area of ∆ABC = sq. cm


Area ∆ABC = 150 sq. cm


Area of parallelogram ABCD = 2×area of ∆ABC


Area of parallelogram ABCD = 2×150


= 300sq. cm


Let, Height AE = h


Area of parallelogram ABCD= base × height


300 = 25 × h


h =


h = 12cm


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