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Answers
Answer:
647 cm
Step-by-step explanation:
In ΔABC
Take a = 26cm, b = 30cm and c = 28cm
So we get
s=
2
a+b+c
s=
2
26+30+28
By division
s=42cm
We know that
Area=
s(s−a)(s−b)(s−c)
By substituting the values
Area=
42(42−26)(42−30)(42−28)
So we get
Area=
42×16×12×14
It can be written as
Area=
14×3×16×4×3×14
On further calculation
Area=
14×14×3×3×16×4
So we get
Area=14×3×4×2
By multiplication
Area=336cm
2
We know that the diagonal divides the parallelogram into two equal area
So the area of parallelogram ABCD=Area of Δ ABC+Area of ΔACD
It can be written as
Area of parallelogram ABCD=2(Area of ΔABC)
By substituting the values
Area of parallelogram ABCD=2(336)
By multiplication
Area of parallelogram ABCD=672cm
2
Therefore, the area of parallelogram ABCD is 672cm
Answer:
one of the impossible quadrilateral