A circle touches all the four sides of a quadrilateral ABCD. Prove that AB + CD = BC + DA
Circles (10)A circle touches all the four sides of a quadrilateral ABCD. Prove that AB + CD = BC + DA.
Answer
Here AP = AS
BP = BQ
CR = CQ
DR = DS
Adding,
(AP + PB) + (CR + RD) = (AS + SD) + (BQ + QC)
AB + CD = AD + BC
- Exam Year: 2017
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