00020002010012Basic Geometry.ACT000d02000b01 Area.EAC010000000cceÉ  01 Area.EAC†Basic Geometry.ACT†%†( ˆ5†9Œ Ž †IkE Ž'[ˆfˆc† ŠLŽ Ž !Find the a†‘ ofŠ given shape.\ŒBSˆ ----††>Έ[†‚ÎŒ­Œ‹ŠŠ`Œ"– Œ –D‰#vŽ†âr† ŒďA† 'L’t‰M’ u˜x˜yŽ †qˆqˆšÄ@  ŒˆĘČ `‹nA@‡śĐ6–°†††`’ ’Ž †, ËŔ  Š@†;Đ6–°† ˜'śNˆ(ĘČ!`Š)G–C–…¸…ˆ,†ľÄ@ Œ‰ŽˆŸŠ€ˆ"ˆŞ* †‡ †‡ŚÉ˜˝ŹŐŠ’ ˆÉɒÉF°Éž7˜Rˆ‰ ˘ÉˆYˆŸˆš‡›Š"ˆˆ. ˘÷  † ČŔ  † @†Đ6–°†gf†%Y™– ™ABV#s†.†A†FÉČ!`†OE–CŠU†g†+’ Š)’† ††Ä@ Œ‰ŽYˆŸ  bЎ"ŠŻŽzĆ .†Ń ËÖÍ ™‚„'GGÍ‡ʒÍD—–Í” ˘Íˆ‰˘ÍˆYˆŸ”Ž"ˆŻˆ.‡ˆĹ .ľš†Š ™™™™™™Š ’ˆ†(ÉČ!`ˆ1C@†8Đ6–°†’+`”7Š)˜^††oÄ@  ˆY†Žˆ"ˆˆ.†Ř.œ‡B˜‡´{˜†ň ČŔ ŒU–Égf‡Y™– ™ 45ˆVŠZˆłˆ‰ŞÍˆ`ˆšŽ"ˆˆ‡jĆ ÍȎ ŽŽ††† Ä@  † †Œ†Žˆ"ˆˆ.ˆ6–?ˆ†††††† † †† †ŽbˆAŒn[ŽŠDivide the shape.\Œ ŒdŒΈ6†:ΌUQ†k`’w– †–DˆvŽ‡&rŽŔˆ  AŽéˆ´L’tC˜ u˜x˜y—cˆq‰uǙ~!‡œĘČ `ŠŃD@‡ŹĐ6–°‡ł†” `’Ž "†' ËŔ  Š@†6Đ6–°†=–B˜3žN#†iĆH ƒŠBJ–C˜…”O˘…!†$†G†GŒ‰ŽYˆŸ ŘŽ"ˆŻ%†ÚÄ@łŽ*&†đ Ȫɘk˜Őžá'‡2ŒÉI— Ź7ŁN(‡uÉČ ‹hE—OÍ )‡¸ÇH  †'†&†*†Ä@ ’(Žˆ #Ž")Ž+˘.ˆH,†U ËŔ@†dĐ6–°†kp2Š”`ˆ-†—ÉČ ŠG–C˜CŽO†.†›ÄH ŠăHÄCŠz˜C/Ł ˆ˜ˆŢ0Ł&ˆo,Y™“ˆ"ˆ@ˆ.1ŁTˆ2‡{ ČŔ Ľ&™ ™™™™™ˆY ™žď3 ĘČ `† C@†Đ6–°ˆ†††`– ’ Œ!†4†GÄ@  3†2†5†aŘˆ02Dˆ".†6Ş<7†™ ČŔ–˜”˜š‰ž8ˆŰČČ ƒŒŰAÄۜOŽ‰9˘ŰˆYˆŸ6 ¨Ž"ˆŻ:ŠëHž*;ŽÉ¤ÉŹ˝˘’-ŽJ<Łe-;†:†<Ž=†Ä@  † †-†>†. ČŔ Œ@†=Đ6–°†D(`2Š”†k?†pÉČ Š&F–C˜+ž7˜Rˆ‰ˆzœŸˆYˆŸ=Š=ˆœˆA˘Éˆ*B´Égf‡Y™– ™ABV#s’(ŽJCŁ)ˆˆ`ˆzˆŠˆ"ˆD‹SH"š*E‡ ËŤSŹŠ ™‚„'GG‹S!†(†F† Ä@  † †ŒE†"D=y hŽ"ˆ5†4†2†G˘63†H†X ĘŔ!Œ@†gĐ6–°†ngf†y ™– ™ 45`†.†•I†BĘČ!ˆB–CĄˆ/ ” –‰J˘ŐˆYˆŸ†š.ގ"ˆK˘˙ˆ*L‡! ČŔ ŇÉY É8ŽJMŁ_ˆˆ`K §€Ž"ˆp-†?•‰ƒˆČˆBˆJˆüS3!†(†?†-†L†H†2†E†B†>†;†7†.†,†'†&†#†"††KŽ [†]&Area = î)ABC+î}ACHG+î)FIE† IHDJ+î)JDER†2Œ2ˆ2=4+8+2+1+1/2RŒ ˆN=15.5Ž_ˆgˆhTry your own shape.\Œ‚ ExerciseΈ3N†7Ά­­ˆ­ŠŠ`Œ"– Œ –DˆévŽ‡Sr† Ž A† '‰^ŒtC˜ u˜x˜yŽ †qˆqO‡ˇĆB  †P†ČĘ"ƒ`ˆA@†Đ6–°†Ž$`’ ’Ž Q†C ČĘ  Š–Bgf†lY™– Ž pŠ†3R†ĘĘ Ž…F˜…–… z– ˆČS†ÔĆJ‰ŽYˆŸOŽˆ"ˆTŒ*"œ*UŠÉ ¤ÉG!5•IˆŹ ™”Bq™˜ŠŐ˜†3VNEŹÉ– ĄNˆ‰W‡؟ˆYˆŸˆš‰şWU†R†X† ÄJ" † †V†Y†" ĘĘ Œ@†1Đ6–°†8gf†CY™– ™ABV#s†.†_Z†dČĘ ƒ`†mD–Ck†+wŠ) ‰[ŠŸB‰ŽYˆŸX5äȎ"ˆŻˆ.\†ŮŘ͈.]†‹ ČĘ"ŚÍBSV%cŠÍ p%‰ ™iwI7RTÍ^‡1˒ÍC—˜Á´Íˆ‰_˘ÍˆYˆŸˆš‘Ž"ˆˆ.‰9Ƙ͈.a‹š Ę" @†Đ6–°† Tp–"R† ™2”3xŠ !ˆxI†.ˆ3b†9ČĘ ƒ`ˆBB–CŠUˆ&Š’˜ †^†c†€ÇJ Œ‰ŽYaŒ;ˆnˆ"ˆˆ.d†ŽÄJ"œ.e†Ä ËĘ#Ž˜Í”Bq™˜ŠÍG!5•I™† Y™Wwv9ˆ ŠÍPŽJfŠ`B Žˆ`d˙yŠÖˆ"ˆpˆ.ˆ6–?ˆˆ§ˆŻZ†]†V†Y†‰QU†Qˆ9‹}Š‰ZArea=[Œ eAct02001502 Point on Graph.EAC0100000001f6É řú [[-1],[1]]ü÷ΆŠ† ††`– – –†?DvŽ†Ur†  A† 'LŽ'Š C˜ u˜x˜yŽ ˆ ˆq†šČČ!‡`Š@†ČĐ6–°†1ˆĐˇ” ŠŤ’¸ˆG‡ˆ Šű02 Point on Graph.EAC†Basic Geometry.ACT†/†2 ˆ?†CŠ Ž Ž$]E †(Œ' [ˆp’mtheŒq†Š@[ŒxŒy=˜ x coordinateŒ* y–U\Œ] Tap ----†Œ>Έ"’Œ‡AChangeŠŸvalue below, or movŒpšĹ# window.]†NŐeAct02000f03 Distance.EAC0100000003e9É 03 Distance.EAC†Basic Geometry.ACT†)†, ˆ9†=Š Ž Ž$]E †(Œ'[ˆjg†ŠPŽ [†]ˆ” Find the dŽ› between Ž'-1ŒK5Ž9 a†9˜%5-2Œx.\Œ‰ę w†wow -->Έ#†ëÎŒúŒˆ‡8qP `U‚Tqi€Š  $9™™™™† wbŽD‰tvO‡Kr† ŽmA† 'LŽ'‰¨‰š’ u‡ş†x† † Œ yŽ ˆ † †ÄB  Ž'ŠČČ!`Š@†HĐ6–°†OŽ#’ Œ(’ˆ' ȐT–BY%f6Q†œ ™PysEXŠ IG&IN´„ˆÔx˜ž„ˆá˘ÜˆXˆ5…ż|Ž"ˆ‡-ĘČ ¤ôÖpˆś‹QˆgˆˆW‘4ˆ‹[‰š Distance=Œ(-1)-5†"2†+Œ 5-(-2)Ž2[Œ!ŽˆB– ’Ž ˆ, ÄB  ˆY  §€Ž"ˆˆ.ˆuŽ%ˆˆˆŤˆŒv[Š-kSelect points A and B on the Geometry windowŠtap Draw/Construct/MidŠ@. You†,ll fi†HˆCmŽ C.Žs[Œ|9˜|Ž{drop it †N o eActivity YŽG1ŽŽ.’aSelect point B and drop it †o eActivity. You will fi†&7Ž4Ž.[Ž9šaCňaŽY2.5”cŽ~The midŒĹis, (š<1ŽĽ1Ž+ş˝)/2[ŒŘ†ˆá Try your own”yF‰ t˜~for š]3Žt4+‹d›>-Ž˘ .\Y GeometryΈ‘†•Î‰s† †  i™™™’† `Vheb”Š  ˆˆ#0ˆ†$Š †Žv† †L†K†r†  A† Ž@LŽ'ˆpC˜ u˜x˜yŽ ˆ ˆq †ľ‰H `Š@†ÄĐ6–°†1ˆĽŒ.†Ă– ’ Œ †÷ˆH ‡¤BˆaŒ%Šr  Cˆ(ˆGˆ‡E”9RŠâ‰U(‰aŒŒ+¨Œ:)/2eAct02001205 Para&Perpen.EAC010000000813É 05 Para&Perpen.EACˆBasic Geometry.ACT†,†/ ˆ<†@Š Ž Ž$]E †(Œ'[ˆmˆj llel and Œrdicular†"ŠbŽ [Œ+O†Ÿ’’$ to see the polygon formed by Ž9xŒ[yŠŒi-4 3Œ{ 2Œ„Ž1 -Ž" ”+5\ŒŔ‘3 window ->Έڇ3΍BŒˆ¤†>B† `Y96Š  ™™™™™€† †CW2RaŠ ŽDv††† r† Ž A† ˆ#ˆ'LŽ'Š C˜ u˜x˜yŽ ˆ † †Ä@  ŽuŠÉČ `Š]A@†“Đ6–°†ˆ7Œ&`Š„Œ ’Ž †Ć ĘŔU–B$iPGUD†ç ™€†ˆ D0† Y™'–H™–aNˆň†…!Ž…E˜…˜yˆjŽ…ˆŹ˘Ţ‰KˆŸ^q¨Ž"ˆEŁˆ* ‡ ČŞÉ Hh2˜ˆa†˝"wfiŠÉ R˜"6† † ČČ `†D@†Đ6–°† † †#Š+– ’Ž † †PÄ@  ˆY †Žˆ"ˆ †zĹHž* †‡ ČŔ–†’iŠŁ’ž’†ŇɒÉCÄɜOŽ‰˘ÉˆYˆŸˆšˆÍˆ"ˆ‰?¤*´É˜k”ŐŁ[œÉB™’†`– ’ Œ††+Ä@  ††Žˆ"ˆŠ*Hž*†k ČŔ@†zĐ6–°† Hh2˜†Œ ™"wfiŒ G…Ba†cŽJ˘Šˆˆ`…ż|Ž"ŠpŽ2ˆŔŽBˆôKˆˆ%ˆˆ1ˆż † †•%[ŽŠ=In the Geometry window, f†Šslope for each line segment.ŽM SŠ$AB : -3œBC† 0ŽŒ*CD†*  Slope DE : -3[†ŒEA†0.8Ž4AB andˆ,are parallel. BCŠCDŒ erpendicular.ŽR†ˆ[Try your own figure!ŽvZFi†^the sŠ”of each line segment. WhiŽsš‡Š›wŠ–†uŠ†?\ŒŘ ExerciseΈ–†šÎ‡ŠĽ†  ™™™™™† `"‘7”0Š ”Ž1Š ŽD‰?vŽM‡`r† Ž A† 'L’tC˜ u˜x˜yŽ †q†ÄB  † ††ČĘ ƒ`†A@†&Đ6–°†-%`1†C †CŒU–B˜'´N†›ɒ…F˜…–+ś…ˆČ†âĆJ‰ŽYˆŸˆř†˙Š"ˆ!•ˆ*‡" ËĘ"Ž—  (GfˆP‡CY™q9v5‰) –  ™†3†B˒ÉE˜Éą žÉˆ‰‰žĹJ"”ɈY†1† †††!†ÄB ˆ††"†. Ȑ@†=Đ6–°†Dge†OY™– – Y™†3#†pËĘ"ƒ`†yD–CkwŠ) ‰$˘ŸˆYˆŸ!5ĚȎ"ˆŻˆ.%˘Íˆ.&†ű ɪ͘oŞ–‡8'‡=ĘĘ ŽÍC—–ÁśÍˆ‰(‡„ƘŸˆYˆŸˆš‘Ž"ˆˆ.)š'†*† ČĘ  † @†Đ6–°†q9v5ˆ ™ (GfˆPŠ EfˆbH†.†E+†JĘĘ"`†SB–CŠU†k`– ’ ŠuŠ‰,†‘ÄB Œ‰ŽYˆŸ)†‘Ž"ˆˆ.-Ş..†‹ †‹Ž˜Í2”3xŠÍTp–"R† Y™qIQfyÍŽJ/‡ĆJJŽˆ`ˆz‡<Š"ˆˆ.ˆ6–?ˆ‘^#†&††"†††ˆ9‹}[‹†eAct02001406 Perpen-Bisect.EAC010000000402É 06 Perpen-Bisect.EAC†Basic Geometry.ACT†.†1 ˆ>†BŠ Ž †R†kE †(Œ' [ˆoŒldicular Œsor†Š^Ž [†kˆ§GFind the equation ofŠpšRbŽR for AB% triangle † ŽTxŒwyŠŒ†-3Œ 6 1  $-.\ŒĹ‘4 w†łow-->Έ߇4΍C‹'†ˆň ™™™™™”† `„V`7pŠ Œ†† –‹‡†v† † †r† Ž A† 'LŽ'Š C˜ u˜x˜yŽ ˆ † †Ä@  ŽuŠČČ!Ł`Š]A@†—Đ6–°†2ˆ2Œ&`ŠŤŒ ’Ž †C ČŔU–Bgd†ëY™– ™ABV#sŠZŽňĘČ Œ…C˜…˜y˜‘ž…ˆă˘Ţ‰KˆŸ9ˆ"ˆŁˆ* śÉh"yYt†˝ ™@C™fEY™h‡tG…‘† `† †ĘČ #ŠB@†%Đ6–°†,† †#†– ’ Œˆ' †\Ä@  ˆY †††Š"ˆ Š*Hž* †œ ČŔ–†“W†Š˝ vp`7† ™bixC69ÉŽJ˘Šˆˆ`ˆz‡Š"ˆˆ¸6ŠŕCˆˆ!ˆŻ•[‹[Œ 7NSelect AB and tap Draw/Construct/Midpoint. You will fiˆ+he mŽ D to be Ž\1.5†o2†.[Œ Ž*PSelect AB and tap Draw/Construct/Perp.Bis†& or. You fiˆ+he line y=-4.5îx+8.75–`ˆr Try your own}5ˆto”Hp†d endicular bŽm for ACŠ™BC’şeAct02001707 Similar Figure L.EAC010000000cd9É 07 Similar Figure L.EAC†Basic Geometry.ACT†1†4†>ˆA†EŠ Ž Ž$ ]E Ž'[ˆ4 oength†Š]Ž \Œ Tap ----†Œ>Έ3†7ÎŒ– Œt8p–wA˜† `‡ gt@Š Š 2† 2%€YŠ ŽD‰v’K†r† ŽmA† 'LŽ'‰L‰6’ u˜x˜yŽ †qˆqˆšÄ@  ÁˆČČ!`‹WDˆ¸Đ6–°† W`‘)#U™† ††ŠŠˆ!ÄH! †*A@†1Đ6–°†8ƒ#qHŒC•p6CrD˘C’ Š†pĆ@!ŠO’a††ŒeB˜eUCaƒSŠ¨t—™%–Š´˜eœe†´Ä@ ”e †çʐĆA'˜Çvt2P‡ ™sPFW€Š Ÿ  ‡+ ČŔV— G)$Ag‡L Y˜ ™‰†u†B Y™„…C’8bN œ†Dš†—f‡g…‚‹„U…•%ކˆĘ Šŕ@  † † †D† Ž †!Ä *†7 ČŔ@†FĐ6–°†M`’e(!ˆ Y™r“cŠ T7YU†.ˆ3†BČH!Š‚C'–DEc˜†WŠ,EteV”aŠPƒ–ŠˆMœ ˆZˆ  ŽĘˆoˆˆ.†ďĹ .‡ ÉŞÎXV9tŠÎˆf4† ™%1g‚T&ÎœÎBšÎ W2b„0Š8 0‘t€¨ÎˆŠˆ]œÎˆZˆ ŽÎˆˆ‰@ Ä@  † † †† ČŔ@†%Đ6–°†, “c6F† ™e™iˆŠ Gtˆa"†NY™†3 ŽJŒ`!”`ˆˆ`DŽ"ˆˆ.ˆˆ2Ƙ’†´’G)$Ag†É Y˜ ™‰†vŠ†‰y‚“7ˆ“†ĺŽJ˘ňˆˆ`ˆz‡Š"ˆˆ*Ĺ *‡2 ËŔŇ™`’e(!E‹r“i‹PS€U‹4†3†ĚČČ!`†żC–Í‚1–'‹_ ‘Y€‘6ŠŮ‚–‰ť  †††BHƒ†Ž†!Ä@ž*ˆ7 ČŔ@†FĐ6–°†MXV9t†X Y™ˆf4† ™dI"(Š †3ŽJ!˘`ˆˆ …ĎtŽ"ˆˆ."†ŻĆHž.#´Ž “c6E–Œ‚e™i‡ŠŽuW'A#&†.ˆ3ŽJ$˘îˆˆ`"5ˆÓŒ"ˆpˆ.ˆˆ–Cˆ‘#ˆ‰E† ††††† †† †ˆI’[‰Figure ABCD~A'B'C'D' and so ABŒ A'B'Œ=’D’D'Œ3.[Œ<Ž#When AB=4, AD=3††L=1.6, we have RˆmV4Œ}†#’sŽ‘3Œ™xR”35Œ°2¸1†Œ×ansîí¸ŽDŘ5ŽáfW=3–F†F/5î2ŒG2x’z6œ–z[E‰2“I”,Œi‡2—H‰ Try your own‘e#Find A'B', when AB=4, AD=8,†D'=4.\ExerciseΈ%†Îˆˆˆ#ˆ+ ™™™™™”† `„V`7pŠ Œ†† –Dˆgv’K†r† Ž A† 'LŽ'ˆ›C˜ u˜x˜yŽ †qˆq&†Ř„@  Á'†ęˆH `ˆóA'@†űĐ6–°†E„”xv"Š×U36"ż“†(‡. ‹@!ŽV–BpIGˆă ˜ ™…9FY‡[ Y™XGpQHN)‡p‰’†Dš†i b˜2††ŠŠ'†*††H  )†(†&Žˆ"ˆ+Š*@!œ*,†Y ‰’@@†hĐ6–°†o –……aˆK Y™–e0’T‡† ™3€ˆrƒ’-†›‹H ƒ`†¤C'–D)$RƒŒ8CIfw†3Š*˜ĘˆŠ.†ă…@–ĘˆZˆ ˆşŕŽ"ˆ/‡ (ˆ˜*0‡Š’Ć“* ™™5PŹ˜0°$˜0’ – ™Ą†Y™’ †’ °$˜0Ş0 ™– ™–†)† 1†(ˆH  ?0†2†•ÉČ ƒ`ˆžD@†ĽĐ6–°†Ź–™”3–"dŠuž/–”ˆeˆm3†ě†@–m-†4†ƒ ˆ’–l†wTS8‰# ™sRq67gŠŐIw'ƒ‡SÉ5†B†ĹŠŻB'˜°%Ž‹ `$™™™™uŁmŽŠ6‡Œ„˜ ˆZˆ 342ŔŽ"ˆ°7‡ś(‰H" †0†-†8†(ˆH" ŽŠ9†&ČČ ƒ`ˆ/C@†6Đ6–°†5„V`ˆ8 ˜2T† Š)ŽBŠ7†Ž ˆ-ˆm:†}„@ ’m5†;†ƒ ˆ’–l 9€vv†´ ™CEx“Š  4p9dŠ„†'ŽJ<˘`ˆˆ`:6 Ž"ˆp=‡(‹H#œ÷ˆD>–Dˆ?‡7ĆH ‹'B™bP†"‹ I™™™™ˆY™Ÿˆs‘ˆeˆm‰X(”űŽmˆľA‡¨(‰ B ĹH"ƒ † A@†Đ6–°ˆ™ˆ1WRD†" `€fr0D3† ††ŠŠˆ3Ž A†'†C†W)ˆ@ ŠW†d0†ˆKĘČ"ƒ`ŠmEšm’W ™– ™žmGE†¸ĆH"’a2†ĘB’)Š§FŒ& ”&B†đ?œ&G‡Ę­ˆ&H‡ ČŔ—pIGu‡; ˜ ™…9FU†Ź Y™‡F72—XŠ’†I‡d؆ˆˆ`ˆz‡Š"ˆJŠŠ *KŠŠȐ—Ł –……a$Y™–e0’T†† ™PCgfG††9† 2†L†)ĆH  † †ŒK†J†‘Ž"ˆM†SÄ@ž*N†i ČŔ@†xĐ6–°††wTS8†‰†~sRq67gŒŠv64FwŠ?ŽJO˘`ˆˆ`ˆzˆŠˆ"ˆP˘Šˆ*Q´Š 9€vt‹CEx“y‰ŠBŽJR‡=řˆˆ`ˆz‡ZŠ"ˆˆ.ˆ‰J‰R–Gˆ!‘#ˆ!‰EH†D†0†'†5†;†-†4‡´),†(†† Ž R†ŠŒŒ=žeAct02001608 Similar Fig P&A.EAC010000000d7bÉ 08 Similar Fig P&A.EAC†Basic Geometry.ACT†0†3†=ˆ@†DŠ Ž Ž$ ]E Ž'[ˆ4!–nure Peri†a er and Area†)ŠiŽ \Œî}ABCD~î}EFGH -->Έ2†6ÎŒĄ‘Œ"XE† `F!˜)6Š ˆ† #6T$‡† ŽD‰"vŽMˆ`r† Žm A† 'L’t‰A’ u˜x˜yŽ †qˆqˆšÄ@  ‘lˆÉČ `‹bF@‡ľĐ6–°‡ź†`– ’Ž †' ČŔ  Š@†6Đ6–°†=’%š3”NŠ†iÉČ!Š\K–CŹ…œO†††°Ä@‰ŽYˆŸ Ž"ˆŞ* ´É˜k”Ő˘’ †BȒÉJŹÉĄ˜^ˆk ˘ÉˆYˆŸ†č"ˆŻˆ  ‡§Ć . 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Change the equation and tap EXE.`eAct02001010 Trig Sine.EAC0100000005a0É 10 Trig Sine.EAC†Basic Geometry.ACT†*†-†7ˆ:†>Š †FkE Ž'[†)ˆc† ŠLŽ \ŒRightˆ“angleΈ/†VÎŒqŒ_–wA“T€†`’ˆ )"XPˆă™™™™™™ˆďDˆüvŽ.†śr† ŒĂA† 'L’t‰!’ u˜x˜yŽ †qˆqˆšÄ  ¤ˆŔ ŠA@‡Đ6–°†’aRB'ˆ`ŒžŽÖ ‡ş† ʀ! † @†Đ6–°†™™™™™™†% ™fTxE† Y™3—E–!UŠ †3†FɈ `†OC–CŠU†g– ’ Šu††Ä Ž‰ŽYˆŸ†E.ގ"ˆŞ* †Í Ȁ˜É ’ÉŠą’w˜ž† †BȈ!ŽÉB°É’ Šň˜Rˆ‰ ˘ÉˆYˆŸˆš"ˆ ˘óˆ* ‡– ˪ə8†– ††  ††#Ä  ˆ †9 =y hŽ"ˆ2ˆ%–ˆˆ †Žrˆ!Œ~[Š‡-When îKA=30îand BC=3, fi† the length of AC.Ž5RˆBŒB sin(ˆ=)=ŒT3Œ\ ACR1Œt2Ž;Ş2†Œœ ans*AC*2ŠFŒ"AC=6–$Č TˆČˆ’Ľ†‰j Try your ownÂ”÷15Ŕ÷B.\, ExerciseΆΆ † ††ˆŽ `X  C@†`"`Ž+ Y˜P”4†J ™ŽDˆWv’K†r† Ž A† 'LŽ'ˆ‹C˜ u˜x˜yŽ †ľˆqˆ~"Ć@  Á†Ú ĘŔ ŒˆˇĐ6–°Ž‡’č‰Œ p” †‡ČČ!ŠëŠúŽC€+‡ ’7‘’T†—ĆH Š—A–†‘ZźC†C†C”Úˆ˜ˆŢ Ä@  † † † †:!Ä@"”:†L ËČ#Ž@†[Đ6–°†bXE&†m ™ e’X&(‘† Y™'6XW†.`|†’ÂH Š’B–Gy™™™™˜Š/yu`s78;˜›ŞŐˆŸ˘ďˆokúđ†§ay“‡y’Š§€‰ŠäHŇ†‡0 ĘŔ!¤ä•, ` ywR#‡] ‡Œľ™Šˆŕ†Łzˆˆ`Ł”ˆ0ˆ‡­ W–2g•‹”Ŕ††††††††††††0Ž ˆˆˆ!ˆ1ˆA†Pˆ!Œ R†`†g sin( )=ŒŒeAct02001211 Trig Cosine.EAC0100000005cdÉ 11 Trig Cosine.EACˆBasic Geometry.ACT†,†/†9ˆ<†@Š †HkE Ž'[†)Œe†ŠNŽ \ŒRightˆ—angleΈ/†XÎŒƒsŒa–wA“T€†`’ˆ )"XP† ™™™™™™Š ŽD‰vŽ.†¸r† ŒĹA† 'L’t‰#’ u˜x˜yŽ †qˆqˆšÄ@  ¤ˆÉČ `‹DA@‡“Đ6–°†’Š’ŽĘ– †Œ† ČŔ  Š@†Đ6–°†&“‘’˜W‘†1 ™ P0y† Y™QF(x†.`ˆ3†BČČ ŠC–Cˆ^Œh– ž…††™Ä@‰ŽYˆAeŽŞ* †Ů ËŞÉ ™™™™™™Š˝ ü–’ ‡ÉČ!ŽÉB°É’ ‹˜Rˆ‰ ˘ÉˆYˆŸ=y hŽ"ˆŻ ˘óˆ* ľ’†Š ™™™™™—Š Š ™†ˆ†  ††0Ä@  7ˆ †F ")Ž"ˆˆ.ˆˆ:–Cˆˆ †Žˆ!Œ‹[ˆ”/When îKA=23.2îand AB=7, fi† the length of AC.Ž7R†ŃŒD cos(Œ?)=ŒX7Œ`ACRŽ+ 0.9191353393Ş,Œšans*AC/˜2ŠKŒ-AC=7.615853401ˆ9ŽŰˆˆä Try your ownÁ-ŽřB=25’ö5ŞöBC.\ExerciseΆ†Îˆˆˆ#ˆ8—'x† `BhI@Q€Š Q"xx˜† w™„#bŒ ŽDˆWv’K†r† Ž A† 'LŽ'ˆ‹C˜ u˜ˆ„’ yŽ †qˆqˆzĆH  Á†ęŔH!ŠA@†úĐ6–°†E1”xVŠž0‘0‡ˆ¤Šž“†‡-ÉČ!`‰6B˜CBp˜s(‹ 8 ‹S‰qŒ[†¤!ĆH!’¤‡Ž ČŔ Ž–Ł"a‚atˆŕ ™ 0w‡h† Y™ DƒsYW†† ††Ä@  † †Œ††+Ƙˆ0Pä<ž† †I ĘŔ!Ž@†XĐ6–°† /†kVŒv˜ˆ~†ÂH!Š~C–GE1”xU¨;˜˘ÁˆYˆŸ˘Űˆo†š .Ş63#™†‡  ™€††ě"Ć@ÎŽŕ¸ž†]!Ä@"œ2‡_ ČŔs™”L ` ywR#‡Œ ‡žçˆŁ‰‚˜††† Ć@  † †ŽW–2g•†€Ž+Ž7††ŽK†††ŽEŽNˆˆˆ)ˆ1ˆA†ƒˆ!Œw[†– cos( )=ŒŒeAct02001312 Trig Tangent.EAC010000000578É 12 Trig Tangent.EAC†Basic Geometry.ACT†-†0†:ˆ=†AŠ †IkE Ž'[†)Žf†ŠOŽ \ŒRightˆ™†–leΈ/†YÎŒ„tŒb–wA“T€†`’ˆ )"XP† ™™™™™™Š ŽD‰vŽ.†šr† ŒĆA† 'L’t‰$’ u˜x˜yŽ †qˆqˆšÄ@  ¤ˆČČ `‹EA@‡•Đ6–°†ZŠÖŠžŽÖ†Œ† ĘŔ! 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