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Deepak Bora
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Asked: 2020-07-31T15:51:50+05:30 In:

In the given figure, a quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = BC + AD.

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In the given figure, a quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = BC + AD.

CBSE 10th Class Mathematics
Past year question paper
Year 2020
SET 1, Code Number  – 30/5/1
Question Number –  24 [b]
Prove that AB + CD = BC + AD
Geometric question
important question for 10th class

10th classcbse class 10thlast year paperncert class 10th
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    1. Newbie
      In the given figure, a quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = BC + AD.

      Let P, Q, R and S be point of
      contact.

      AP = AS
      BP = BQ
      CQ = CR            Tangents drawn from external point of circle given in figure
      DS = DR

      AB + CD = AP + BP + CR + RD

      = AS + BQ + CQ + DS
      = AS + DS + BQ + CQ
      = AD + BC
      Hence proved.

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