document.write( "Question 1209579: In the diagram, $ABCD$ is a square. Find $PR.$\r
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document.write( "[asy]
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document.write( "unitsize(1.5 cm);\r
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document.write( "pair A, B, C, D, P, R;\r
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document.write( "A = (-1,1);
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document.write( "B = (1,1);
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document.write( "C = (1,-1);
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document.write( "D = (-1,-1);
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document.write( "P = (0,1) + dir(50);
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document.write( "R = -P;\r
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document.write( "draw(A--B--C--D--cycle);
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document.write( "draw(A--P--B);
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document.write( "draw(C--R--D);\r
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document.write( "label(\"$A$\", A, W);
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document.write( "label(\"$B$\", B, dir(0));
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document.write( "label(\"$C$\", C, dir(0));
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document.write( "label(\"$D$\", D, W);
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document.write( "label(\"$P$\", P, N);
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document.write( "label(\"$R$\", R, S);
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document.write( "label(\"$4$\", (B + P)/2, NE, red);
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document.write( "label(\"$8$\", (A + P)/2, NW, red);
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document.write( "label(\"$4 \sqrt{5}$\", (A + B)/2, S, red);
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document.write( "label(\"$4$\", (D + R)/2, SW, red);
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document.write( "label(\"$8$\", (C + R)/2, SE, red);
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document.write( "label(\"$4 \sqrt{5}$\", (C + D)/2, N, red);
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document.write( "[/asy]\r
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document.write( "AB=BC=CD=DA=4sqrt5
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document.write( "PA=CR=8
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document.write( "PB=RD=4 \n" );
document.write( "
Algebra.Com's Answer #849557 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hello, I am writing to let you know (in case if you don't know it): \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " this site/forum is for Math problems.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is expected that the visitors bring formulations of Math problems in traditional wording form.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If necessary, the wording description can be accompanied by a diagram or a link to a diagram.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But posting computer programs in the language of graphing tools is not what we expect from visitors.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Do you get the meaning of my message?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |