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PARTBThePythagoreanTheoremDate
Period Dothefollowinglengthsformarighttriangle?Thebaseoftheladderismetresfromthebaseofthe ©Kp0W1yyKquBtaEZSMoyf0tswNaxr0eF2L7LiCRSRAulMl6yrkiZgPhHtZss2r0evsZezrQvxevdP.UuJMfaodNeClw7i6tHhegIEnqfziInsirt8eC cPOrTeLyAQuestionShownisasquarewithsidelength5cm1)))))a=,b=,c=)a=,b=,c=Findeachmissinglengthtothenearesttenth))))))Hereare eight(8)PythagoreanTheoremproblemsforyoutosolveFindthelengthofthediagonal,xQuestionShownisarightangletriangleb)Usethegivenareasto determinethesidelengthxineachofthefollowingdiagramsa+b=cWritethePythagoreanTheoremCalculatethelengthofABShownisaright-angledtriangle CBADCCCSHORTANSWERYesNote:drawingsnottoscaleMULTIPLECHOICEAACCBCBCBc)Determinetheareaoftheindicatedsquare ineachofthefollowingdiagrams$$$$Geometry(allcontent)QuizLearnforfreeaboutmath,art,computerprogramming,economics,physics,chemistry, biology,medicine,SectionThePythagoreanTheoremEXAMPLEFindingtheLengthofaLegFindthemissinglengthofthetriangle.Sinceitsatisfiedthe PythagoreanTheoremwhichprovesthatthesethreesidesdoformarighttriangle.Here’sthePythagoreanTheoremformulaforyourquickreference.Thenfindthe areaandtheperimeterFindathirdnumbersothatthethreenumbersformarighttriangleMsa)b)c)Giventhetrianglesbelow,givetheformulaofSelectamount MultipleChoice(points;pointseach)IdentifythechoicethatbestcompletesthestatementoranswersthequestionRoundyourBC=cmProblemFindWorksheet PythagorasGradeMathematicsWhichofthefollowingtrianglescanyouusePythagoraswith?AB=sqrt(10)BC=sqrt(20)AC=sqrt(10)+=Readsimple PythagoreanTheoremexplanationanddownloadFREEPythagoreanTheoremWorksheetwithAnswersinWordandPDFShortAnswer)Let’sgetstarted! AnswerSectiontheWhenyoudosomethingalot,yougetbetteratitPersuadeMrZornwhetherthenumbers,,andmakearighttriangleornotFindthelength oftheunknownside.Youmightneedtofindeitherthelegorthehypotenuseoftherighttriangle.Makesuretostatereasonsforandagainstyourbelief.c)For eachofthefollowing,usethegivenareastodeterminesidelengthsa,bandcTheseproblemsvaryintypeanddifficulty,providingyouanopportunitytolevelup yourskills9)TheslopeofAPis(Diagramforquestions9,e)undefined,R(6,))A(15,)P(15,3)GeometryACTPrepQuestionsForeachtrianglefindthe missinglengthaUnitTestPythagoreanTheoremRoundyouranswertothenearesttenthTheymakeupwhatiscalledaPythagoreanTripleftftPARTAIdentify thehypotenuseforeachofthefollowingrighttrianglesGreentellsyouthatarighttrianglehasahypotenuseofandalegofSheasksyoutofindtheotherlegofthe triangleAmetreladderisplacedagainstaverticalwallCalculate:theperimeterofthetriangle