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The sum of opposite sides of quadrilateral circuscribed about a circle ,is always equal. What is the meaning of this statement? How to prove it ?
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The sum of opposite sides of quadrilateral circuscribed about a circle...
First make the diagram with give information.
It can be observed that
DR = DS (Tangents on the circle from point D) …......(1)
CR = CQ (Tangents on the circle from point C) …....(2)
BP = BQ (Tangents on the circle from point B) …...(3)
AP = AS (Tangents on the circle from point A) ….(4)
Adding all these equations, we obtain
DR + CR + BP + AP = DS + CQ + BQ + AS
(DR + CR) + (BP + AP) = (DS + AS) + (CQ + BQ)
CD + AB = AD + BC
[Q.E.D]
That's all☺
It can be observed that
DR = DS (Tangents on the circle from point D) …......(1)
CR = CQ (Tangents on the circle from point C) …....(2)
BP = BQ (Tangents on the circle from point B) …...(3)
AP = AS (Tangents on the circle from point A) ….(4)
Adding all these equations, we obtain
DR + CR + BP + AP = DS + CQ + BQ + AS
(DR + CR) + (BP + AP) = (DS + AS) + (CQ + BQ)
CD + AB = AD + BC
[Q.E.D]
That's all☺
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The sum of opposite sides of quadrilateral circuscribed about a circle ,is always equal. What is the meaning of this statement? How to prove it ?
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The sum of opposite sides of quadrilateral circuscribed about a circle ,is always equal. What is the meaning of this statement? How to prove it ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The sum of opposite sides of quadrilateral circuscribed about a circle ,is always equal. What is the meaning of this statement? How to prove it ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of opposite sides of quadrilateral circuscribed about a circle ,is always equal. What is the meaning of this statement? How to prove it ?.
The sum of opposite sides of quadrilateral circuscribed about a circle ,is always equal. What is the meaning of this statement? How to prove it ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The sum of opposite sides of quadrilateral circuscribed about a circle ,is always equal. What is the meaning of this statement? How to prove it ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of opposite sides of quadrilateral circuscribed about a circle ,is always equal. What is the meaning of this statement? How to prove it ?.
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