Difference between revisions of "2002 PMWC Problems"
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== Problem T3 == | == Problem T3 == | ||
| + | <asy> | ||
| + | size(8cm); | ||
| + | import patterns; | ||
| + | pair A,B,C,D,E,F,G; | ||
| + | A=(0,4); | ||
| + | B=origin; | ||
| + | C=(4,0); | ||
| + | D=(4,4); | ||
| + | E=(7,0); | ||
| + | F=(7,3); | ||
| + | G=(4,3); | ||
| + | draw(A--B--E--F--G--C--D--cycle); | ||
| + | add("crosshatch",crosshatch(.6mm)); | ||
| + | fill(A--G--E--cycle,pattern("crosshatch")); | ||
| + | label("$A$",A,NW); | ||
| + | label("$B$",B,SW); | ||
| + | label("$C$",C,S); | ||
| + | label("$D$",D,NE); | ||
| + | label("$E$",E,SE); | ||
| + | label("$F$",F,NE); | ||
| + | label("$G$",G,NE);</asy> | ||
| + | //Credit to dasobson for the diagram | ||
[[2002 PMWC Problems/Problem T3|Solution]] | [[2002 PMWC Problems/Problem T3|Solution]] | ||
Revision as of 22:56, 19 April 2014
Contents
- 1 Problem I1
- 2 Problem I2
- 3 Problem I3
- 4 Problem I4
- 5 Problem I5
- 6 Problem I6
- 7 Problem I7
- 8 Problem I8
- 9 Problem I9
- 10 Problem I10
- 11 Problem I11
- 12 Problem I12
- 13 Problem I13
- 14 Problem I14
- 15 Problem I15
- 16 Problem T1
- 17 Problem T2
- 18 Problem T3
- 19 Problem T4
- 20 Problem T5
- 21 Problem T6
- 22 Problem T7
- 23 Problem T8
- 24 Problem T9
- 25 Problem T10
Problem I1
Problem I2
Problem I3
Problem I4
Problem I5
Problem I6
Problem I7
Problem I8
Problem I9
Problem I10
Problem I11
Problem I12
Problem I13
![[asy] size(2cm); defaultpen(fontsize(15)); pen dts=linetype("5 5"); real correction=2/5; label("$\textbf{A}$",(-1,0)); label("$\textbf{B}$",(1,0)); label("$\textbf{C}$",(0,-sqrt(3))); draw((-1 + correction,0)--(1 - correction,0),dts); draw( (1-cos(pi/3)*correction,-sin(pi/3)*correction)--(0+cos(pi/3)*correction,-sqrt(3)+sin(pi/3)*correction), dts ); draw( (-1+cos(pi/3)*correction,-sin(pi/3)*correction)--(0-cos(pi/3)*correction,-sqrt(3)+sin(pi/3)*correction), dts); //Credit to dasobson for the diagram[/asy]](http://latex.artofproblemsolving.com/4/8/7/487631644b0889fd5a8470976b2370bc66ee677f.png)
Problem I14
Problem I15
Problem T1
Problem T2
Problem T3
![[asy] size(8cm); import patterns; pair A,B,C,D,E,F,G; A=(0,4); B=origin; C=(4,0); D=(4,4); E=(7,0); F=(7,3); G=(4,3); draw(A--B--E--F--G--C--D--cycle); add("crosshatch",crosshatch(.6mm)); fill(A--G--E--cycle,pattern("crosshatch")); label("$A$",A,NW); label("$B$",B,SW); label("$C$",C,S); label("$D$",D,NE); label("$E$",E,SE); label("$F$",F,NE); label("$G$",G,NE);[/asy]](http://latex.artofproblemsolving.com/1/a/7/1a76c2c6bfa451712ac206f1ee341ac5c3b8ad57.png)
//Credit to dasobson for the diagram
Solution
