Find the area of a parallelogram ABCD in with AB=28 cm,BC=26 cm and diagonal AC=30 cm
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Q. 22
Find the area of a parallelogram ABCD in which AB = 28cm, BC = 26cm and diagonal AC = 30 cm.
Answer
Let the sides of the triangle ABC be:
a = 26 cm
b = 30 cm
And
c = 28 cm
Let us find out the value of s
We know that,
s= 42 cm
We know that,
Area of triangle ABC = 14 × 3 × 4 × 2
= 336 cm2
We know that,
In a parallelogram, the diagonal divides the parallelogram in two equal area
Therefore,
Area of quadrilateral ABCD = Area of triangle ABC + Area of triangle ACD
= Area of triangle ABC × 2
= 336 × 2
= 672 cm2
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