A quadilateral ABCD is drawn to circumcribe a circle . prove that AB+CD=AD+BC

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Babacar Gningue · Answer 1 · 2021-03-13T15:21:06+0000

Answer:

detail in steps

Explanation:

as illustrated

AB = AP + BP

CD = CR + DR

AD = AS + DS

BC = BQ + CQ

while AP = AS BP = BQ CQ = CR DR = DS

AB + CD = AP + BP + CR + DR

AD+BC = AS + DS + BQ + CQ

∴ AB+CD=AD+BC

A quadilateral ABCD is drawn to circumcribe a circle . prove that AB+CD=AD+BC

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