Difference between revisions of "Users:Orange Quail 9"
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<asy> | <asy> | ||
| − | size( | + | /* Made by MRENTHUSIASM */ |
| − | A = (- | + | size(300); |
| − | B = (0, | + | pair A, B, C, D, A1, B1, C1, D1, P, Q; |
| − | C = ( | + | A = (-250,6*sqrt(731)); |
| − | D = (0, | + | B = (250,6*sqrt(731)); |
| − | dot("$ | + | C = (325,-6*sqrt(731)); |
| − | dot("$ | + | D = (-325,-6*sqrt(731)); |
| − | dot("$ | + | A1 = bisectorpoint(B,A,D); |
| − | dot("$ | + | B1 = bisectorpoint(A,B,C); |
| − | draw(A--D^^B-- | + | C1 = bisectorpoint(B,C,D); |
| + | D1 = bisectorpoint(A,D,C); | ||
| + | P = intersectionpoint(A--300*(A1-A)+A,D--300*(D1-D)+D); | ||
| + | Q = intersectionpoint(B--300*(B1-B)+B,C--300*(C1-C)+C); | ||
| + | draw(anglemark(P,A,B,1000),red); | ||
| + | draw(anglemark(D,A,P,1000),red); | ||
| + | draw(anglemark(A,B,Q,1000),red); | ||
| + | draw(anglemark(Q,B,C,1000),red); | ||
| + | draw(anglemark(P,D,A,1000),red); | ||
| + | draw(anglemark(C,D,P,1000),red); | ||
| + | draw(anglemark(Q,C,D,1000),red); | ||
| + | draw(anglemark(B,C,Q,1000),red); | ||
| + | add(pathticks(anglemark(P,A,B,1000), n = 1, r = 0.15, s = 750, red)); | ||
| + | add(pathticks(anglemark(D,A,P,1000), n = 1, r = 0.15, s = 750, red)); | ||
| + | add(pathticks(anglemark(A,B,Q,1000), n = 1, r = 0.15, s = 750, red)); | ||
| + | add(pathticks(anglemark(Q,B,C,1000), n = 1, r = 0.15, s = 750, red)); | ||
| + | add(pathticks(anglemark(P,D,A,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); | ||
| + | add(pathticks(anglemark(C,D,P,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); | ||
| + | add(pathticks(anglemark(Q,C,D,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); | ||
| + | add(pathticks(anglemark(B,C,Q,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); | ||
| + | dot("$A$",A,1.5*dir(A),linewidth(4)); | ||
| + | dot("$B$",B,1.5*dir(B),linewidth(4)); | ||
| + | dot("$C$",C,1.5*dir(C),linewidth(4)); | ||
| + | dot("$D$",D,1.5*dir(D),linewidth(4)); | ||
| + | dot("$P$",P,1.5*NE,linewidth(4)); | ||
| + | dot("$Q$",Q,1.5*NW,linewidth(4)); | ||
| + | draw(A--B--C--D--cycle^^A--P--D^^B--Q--C^^P--Q); | ||
| + | label("$500$",midpoint(A--B),1.25N); | ||
| + | label("$650$",midpoint(C--D),1.25S); | ||
| + | label("$333$",midpoint(A--D),1.25W); | ||
| + | label("$333$",midpoint(B--C),1.25E); | ||
</asy> | </asy> | ||
Revision as of 23:50, 6 October 2024
![[asy] /* Made by MRENTHUSIASM */ size(300); pair A, B, C, D, A1, B1, C1, D1, P, Q; A = (-250,6*sqrt(731)); B = (250,6*sqrt(731)); C = (325,-6*sqrt(731)); D = (-325,-6*sqrt(731)); A1 = bisectorpoint(B,A,D); B1 = bisectorpoint(A,B,C); C1 = bisectorpoint(B,C,D); D1 = bisectorpoint(A,D,C); P = intersectionpoint(A--300*(A1-A)+A,D--300*(D1-D)+D); Q = intersectionpoint(B--300*(B1-B)+B,C--300*(C1-C)+C); draw(anglemark(P,A,B,1000),red); draw(anglemark(D,A,P,1000),red); draw(anglemark(A,B,Q,1000),red); draw(anglemark(Q,B,C,1000),red); draw(anglemark(P,D,A,1000),red); draw(anglemark(C,D,P,1000),red); draw(anglemark(Q,C,D,1000),red); draw(anglemark(B,C,Q,1000),red); add(pathticks(anglemark(P,A,B,1000), n = 1, r = 0.15, s = 750, red)); add(pathticks(anglemark(D,A,P,1000), n = 1, r = 0.15, s = 750, red)); add(pathticks(anglemark(A,B,Q,1000), n = 1, r = 0.15, s = 750, red)); add(pathticks(anglemark(Q,B,C,1000), n = 1, r = 0.15, s = 750, red)); add(pathticks(anglemark(P,D,A,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); add(pathticks(anglemark(C,D,P,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); add(pathticks(anglemark(Q,C,D,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); add(pathticks(anglemark(B,C,Q,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); dot("$A$",A,1.5*dir(A),linewidth(4)); dot("$B$",B,1.5*dir(B),linewidth(4)); dot("$C$",C,1.5*dir(C),linewidth(4)); dot("$D$",D,1.5*dir(D),linewidth(4)); dot("$P$",P,1.5*NE,linewidth(4)); dot("$Q$",Q,1.5*NW,linewidth(4)); draw(A--B--C--D--cycle^^A--P--D^^B--Q--C^^P--Q); label("$500$",midpoint(A--B),1.25N); label("$650$",midpoint(C--D),1.25S); label("$333$",midpoint(A--D),1.25W); label("$333$",midpoint(B--C),1.25E); [/asy]](http://latex.artofproblemsolving.com/6/4/f/64fb8515455efd9de40bf9b77d331fc66c20a2ae.png)
