<prompt> Acha pembetatu XOY iwe pembetatu yenye pembe ya kulia na mangle XOY 90circ. Acha M na N ziwe sehemu za katikati za miguu OX na OY, mtawalia. Kwa kuzingatia kwamba XN19 na YM22, pata XY.  <response>: Acha OM a na ON b. Kisha 192 2a2 b2 quad maandishina quad 222 a2 2b2. asyukubwa wa kitengo 0.3cm;jozi X,Y,O,N,M;X0,8;O0,0;Y13,0;N6,0;M0,4;njia aX--Y--O--mzunguko;njia bM--Y;kuchoraa;choraX--N;kuchorakuhama16,0a;chorakuhama16,0b;kwa int i0; i2; i leboX,shift16i,0X,W;leboO,shift16i,0O,S;leboY,shift16i,0Y,S;leboN,N,S;lebo2a,0,4,W;lebob,3,0,S;lebo2b,22,0,S;leboa,16,1.5,W;lebo19,2,4,S;lebo22,21,2.5,NE;leboM,shift16,0M,W;asy Kwa hivyo 5a2b2 192 222 845. Inafuata kwamba MN sqrta2 b2 sqrt169 13. Kwa kuwa pembetatu XOY ni sawa na pembetatu MON na XO2cdot MO, tuna XY 2 cdot MN 26. asyjozi X,M,O,N,Y;O0,0;Y24,0;N12,0;M0,5;X0,10;leboX,X,W;leboM,M,W;leboO,O,SW;leboN,N,S;leboY,Y,S;leboa,0,2.5,W;leboa,0,7.5,W;lebob,6,0,S;lebob,18,0,S;lebo13,4,4,E;lebo26,12,7,E;kuchoraX--Y--O--mzunguko;kuchoraM--N;asy 