Abcd is a quadrilateral such that angle d=90 a circle touches the side ab bc cd and da at q o r s respectively if bc =38 cd = 25 and bp = 27 find r
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Answer:
r=14 cm
Step-by-step explanation:
∠ORD=∠OSD=90∘
Also OR=OS
ORDS is a square
BP=BQ,CQ=CR,DR=DS
BQ=27cm
BC−CQ=27cm
38−CQ=27
CQ=11cm
CR=11cm
CD−DR=11cm
25−DR=11cm
DR=14cm
since ORDS is a square
OR=DR=14cm
Hence r=14cm
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