document.write( "Question 823978: Hello,
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document.write( "How can I solve the following question, am I even given enough information?\r
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document.write( "Thanks.\r
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Algebra.Com's Answer #495965 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Because ABC is a circumscribed triangle, this means that AB, BC, and AC are tangents to the circle. Therefore, with a bit of proof (which we don't need to do really unless you want to), we can show the following is true\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AP = AR \n" ); document.write( "BP = BQ \n" ); document.write( "CQ = CR\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We are given AR = 10, CQ = 8, BQ = 4, so...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AP = AR \n" ); document.write( "BP = BQ \n" ); document.write( "CQ = CR\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "turns into\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AP = 10 \n" ); document.write( "BP = 4 \n" ); document.write( "8 = CR\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which rearranges to\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AP = 10 \n" ); document.write( "BP = 4 \n" ); document.write( "CR = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then we use the segment addition postulate\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AB = AP + PB\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AB = AP + BP\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AB = 10 + 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AB = 14 units \n" ); document.write( " |