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


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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