? ABC is circumscribing a circle. Find the length of BC

1.	? ABC is circumscribing a circle. Find the length of BC
Answer» Given,{tex}AR = 4 \\ cm .{/tex}Also,\xa0{tex}AR = AQ{/tex}\xa0{tex}\\Rightarrow{/tex}\xa0{tex}AQ = 4 cm\xa0{/tex}Now,\xa0{tex}QC = AC - AQ{/tex}{tex}= 11 cm - 4 cm = 7 cm{/tex}\xa0...(i)Also,\xa0{tex}BP = BR{/tex}{tex}\\therefore{/tex}\xa0BP = 3 cm and PC = QC{tex}\\therefore{/tex}\xa0PC = 7 cm [From (i)]\xa0{tex}BC = BP + PC \\\\ = 3 cm + 7 cm \\\\ = 10 cm{/tex}

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