A quadrilateral is circumscribed around a circle. The sum of the lengths of two of its opposite sides is 15 cm. Find the perimeter of the quadrilateral.
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Answer:
perimeter of Quadrilateral = 30 cm
Step-by-step explanation:
A quadrilateral is circumscribed around a circle. The sum of the lengths of two of its opposite sides is 15 cm. Find the perimeter of the quadrilateral.
As we know that , In a quadrilateral circumscribed about a circle, the sum of measures of any pair of opposite sides is equal to the sum of measures of the other pair of the opposite sides.
(if you need proof for this concept also , please post another question)
The sum of the lengths of two of its opposite sides is 15 cm
Hence Sum of lengths of Remaining two of its opposite sides is also 15 cm
Hence perimeter of Quadrilateral = 15 + 15 = 30 cm
perimeter of Quadrilateral = 30 cm
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