Question

The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.

Answer 1

ab=bc=34
dc=20 
ac=42
using herons formula  AREA of ΔACD 
√s(s-a)(s-b)(s-c)
√48(48-34)(48-20)(48-42)
√48*14*28*6
=336
AREA of Δabc=336
∵are of parellepgram abcd =336*2=672

Answer 2

ab=bc=34

dc=20  

ac=42

using herons formula  AREA of ΔACD  

√s(s-a)(s-b)(s-c)

√48(48-34)(48-20)(48-42)

√48*14*28*6

=336

AREA of Δabc=336

∵are of parellepgram abcd =336*2=672