the perimeter of a parallelogram circumscribing a circle is 28cm . Find the sides of the parallelogram
Answers
Given : perimeter of a parallelogram circumscribing a circle is 28cm .
To Find : the sides of the parallelogram
Solution:
Any Quadrilateral Circumscribing a circle
Sum of opposite sides is equal
Opposite sides of parallelogram are equal
Let say Parallelogram is ABCD
AB = CD Opposite sides of parallelogram
BC = DA Opposite sides of parallelogram
AB + CD = BC + DA ( as it Circumscribe a circle)
AB + BC + CD + DA = 28 cm
=> (AB + CD) + (BC + DA) = 28 cm
=> (AB + CD) + (AB + CD) = 28 cm
=> 2(AB + CD) = 28 cm
AB + CD = 14 cm
AB =CD
=> AB = CD = 7 cm
Similarly
BC = DA = 7 cm
the sides of the parallelogram are 7 cm each
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