? )}!c apm H 5Q =  `4<$0޼0 -X "<޼޼ -X޼ +  zBegin by either running the script "Centroid" on each side of the given triangle and constructing triangle GKO, the outer Napolean triangle, or use the hide/show buttons as indicated.@&`Ւ|Ւ< ! @ )}H㎰ e ! !e`4<$0PlayerAutomated Tasks Calculator ChooserControlnNapoleon's TriangleJigsaw޵zle Key Caps Note PadRecent ApplicationsRecent DocumentsfkޮP `4<$0Cޮ0HHՉ8ޮ0CCh nsޭ@ `4<$0Bޭ HHvޭp0CSB  `4<$0A\nި ެp -Xlllmlި zlzmzz{CCh B r `4<$0 Find FileGraphing ClculatorJigsaw Puzzle Key s eh'jSome things to try: 1) Construct and measure segments AH, BL, and CD. Label the point of concurrency Q 2) Construct the circumcircles of triangles ABD, BCH, and ACL. 3) Reflect G, K, and O through segments AB, BC, and AC respectively. Construct triangle G'K'O', the inner Napolean triangle. 4) Compare the areas of the outer, inner, and original triangles. angles. )0 f%@)00,0)0' 7)k  `4<$0l@@@@CChCCh?mk  `4<$0kް -Xި CSBCCh?m  `4<$0j eޯ \0ި ޯ 0CChCSB?` q  `4<$0c1 u-X* +p u-Xx+@+ uCChCy3?5%F?5%FK\ `4<$0c2<,0* HHՉ,CSBCy3?5%F?5%F0  `4<$0c3@HH8Չ@=00CSBC?PZ?5%F?5%F)( `4<$0c4>@A8HHՒCChC?PZ?5%F?5%F?  `4<$0c5 IP-XSX I0-XWCChCV?5%F?5%Fi `4<$0c6-XY0\SHHՍCChCV?5%F?5%FrIwN `4<$0D3-0,HHՒhB'gBj  `4<$0EC2C, ). `4<$0H}?`A>@HHՉ C¶&B+P ! `4<$0I 8CC,  `4<$0LZP\Y0HHՒlC}CЪ+  `4<$0M0_@@ @@t@@PՎ@C/C}Ch qH,  `4<$0mՌ,Ռd. rp-X,HHCChB'gBj?mHw0  `4<$0n,HHՉ,000B'gBjCSB?qH  `4<$0oB'gBjC2C,?(s>@  `4<$0qՒd>@Չ@B@>@HHCSBC¶&B+P?(eA  `4<$0r>@HHՒA0C¶&B+PCCh?(  `4<$0s<C¶&B+PCC,?kY0  `4<$0uՒY0v[p E-XY0HHCChC}CЪ+?\  `4<$0vY0HHՍ\0C}CЪ+CCh?  `4<$0w.010+ . C}CЪ+C}Ch?qHk|  `4<$0abw B'gBjCCh?m  `4<$0ac _T@ _h6|@ !C}CЪ+CSB?(  `4<$0adC¶&B+PCCh?pu `4<$0F J-XՉՉ<,`,2 Jp-XCBV uz `4<$0JC[C {* CH  `4<$0N 10+ + 10@+ HHCGCU ᆐ `4<$0QpHHՌl0C[C.  o  `4<$0pCBVCCh?"mz  `4<$0t010.0 _C[C {*CSB?#Hk  `4<$0x0 _0 _|CGCUCCh?$L_z `4<$0AH, BL, and CDO ! %fy@ `4<$0Hide LH&nBn`v0L y! % `4<$0GCCC `4<$0Kp <3]310tMN]NC C '$)<3 `4<$0OMN]N81  1C}Cd (~C  `4<$0y _i \@ei 7CCÍ +   `4< $0Kp <3]310tMN]NCzCW: ,  `4< $0OMN]N81  1C}C*98 -K^) `4<$0 CircumcirclesO 4231ex `4<$0Hide 0-X}~ 231EX `4<$0Outer Napoleon triangleO 4-,/.0+^qB `4<$0HideSbcabcccedeacaaccc -,/.0+  `4< $0ae `ː `Ǡː0CU$C>ÍC}C*98?64  `4< $0afC}C*98CzCW:?56  `4< $0agCzCW:CU$C>Í?45L_0 `4< $0Inner Napoleon triangleO 4=5<6;4bu `4< $0Hide =5<6;4