Pritha draws a pa

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