the adajacent sides of a parraleogram abcd are ab=34 bc=20 and diagnol ac =42 find the area of parraleogram
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Answer:
112✓21 sq. units
Step-by-step explanation:
in triangle ABC , using Heron's formula:
a=20
b=34
c=42
s=(a+b+c)/2
=(20+34+42)/2
=48
area of triangle ABC:
✓s(s-a)(s-b)(s-c)
=✓48(48-20)(48-34)(48-42)
=56✓21 sq. units
area of parallelogram ABCD:
2*area of triangle ABC= 2*56✓21
112✓21 sq. units
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