[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523071-105":59,"doc-detail-523071-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","medians-5-medians","Medians - 5-Medians","","Practice worksheet on triangle medians where each item provides a relationship involving a median segment and a given length or algebraic expression. Problems prompt students to compute an unknown median segment length in each diagram, and several items require solving for x using simultaneous linear expressions derived from proportional median parts. Answers for each numbered question are intended to be found by applying the median properties for triangles and the corresponding segment 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do the diagrams in the medians worksheet represent?","Question",{"text":112,"@type":113},"Each problem shows a triangle with one or more medians, and the given labels indicate the median segments whose lengths (or variables) must be determined.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the unknown lengths determined in each question?",{"text":117,"@type":113},"Use the relationships given for the median parts in the triangle diagram, then apply median properties to set up the needed equation and solve for the missing segment length or variable.",{"name":119,"@type":110,"acceptedAnswer":120},"When a problem says “find x,” what is the goal?",{"text":121,"@type":113},"Substitute the expressions for the labeled median segments into the given median relationship, form an equation in x, and solve the resulting linear equation.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},523071,1791504527,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},1374404730887,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Kuta Software-Infinite Geometry Name   \nMedians Date  Period   \nEach figure shows a triangle with one or more of its medians.  \n1) Find FE if TE = 8  \nF  \nE  \n3) Find LJ if IJ = 6  \nJ N  \nK  \n5) Find ZQ if ZD = 6  \nY  \nZ  \n7) Find BG if BV= 3.9  \nC  \nB  \n9) Find DH if BH = 4.5  \nA  \nC  \n2) Find GF if TF = 6.3 F  T  G  \nE  \n4) Find NMifEM = 10  \nM  \n6) Find RK if DK = 3.4  \nR  \nT  \nK  \nS  \n8) Find EZ if ZV= 12  \nF  \nE  \nD  \n10) Find CG if KG = 41.4  \nH  \nK  F  J  \nG  \nC  \nL  \n11) Find x if GE = 3x + 5 and IE = x + 6  \nE  \nF G  \n13) Find x ifET= 3x + 2 and EM = 5x  \nD  \nM  C  \nT  \nL  \nE  \n15) Find CQ if CR = x and CQ = 2x − 6  \nQ  \n17) Find XQ ifMQ = 3x − 3 and XQ = 2x − 6  \nN  \nM P L  \n12) Find x if TP = 2x + 1 and TQ = 3x − 5  \nV  \nU  \nR  \nQ T P  \n14) Find x if KT= ~~ ~~6x~~ ~~6~~ ~~ and KB = ~~ ~~115x − ~~ ~~65  \nJ  \n16) Find AS ifAR = x − ~~ ~~12 and AS = ~~ ~~x~~ ~~+2~~ ~~5  \nS  \nT  \nA  \nR  \n18) Find JWifJW= 6x + 2 and JB = 10x + 1 K  C  J  \nB A  \nI  \nW  \nKuta Software-Infinite Geometry Name   \nMedians Date  Period   \nEach figure shows a triangle with one or more of its medians.  \n1) Find FE if TE = 8  \nF  \nG  \nT 16  \nE  \n3) Find LJ if IJ = 6  \nJ N  \nK  \n3  \n5) Find ZQ if ZD = 6  \nY  \nZ  \n4  \n7) Find BG if BV= 3.9  \nC  \nB  \n2.6  \n9) Find DH if BH = 4.5  \nB  \nA H  \n1.5  \nC  \n2) Find GF if TF = 6.3 F  T  G  \nE  \n12.6  \n4) Find NMifEM = 10  \nM  \nE  \nL N  \n20  \n6) Find RK if DK = 3.4  \nR  \nT  \nK  \nS  \n8) Find EZ if ZV= 12  \nE  \nF  \nU V  \nZ  \nD  \n24  \n10) Find CG if KG = 41.4  \nH  \nK  F  J  \nG  \nC  \nL 13.8  \n11) Find x if GE = 3x + 5 and IE = x + 6  \nE  \nF G  \n7  \n13) Find x ifET= 3x + 2 and EM = 5x  \nD  \nM  C  \nT  \nL  \nE  \n6  \n15) Find CQ if CR = x and CQ = 2x − 6  \nQ  \n6  \n17) Find XQ ifMQ = 3x − 3 and XQ = 2x − 6  \nN  \nM P L  \n12) Find x if TP = 2x + 1 and TQ = 3x − 5  \nV  \nU  \nR  \nQ T P  \n6  \n14) Find x if KT= ~~ ~~6x~~ ~~6~~ ~~ and KB = ~~ ~~115x − ~~ ~~65  \nJ  \n7.5  \n16) Find AS ifAR = x − ~~ ~~12 and AS = ~~ ~~x~~ ~~+2~~ ~~5  \nS  \nT  \nA  \nR  \n5.5  \n18) Find JWifJW= 6x + 2 and JB = 10x + 1 K  C  J  \nB A  \nI  \n14  \nW  \n4  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaic6LdwCDHyW8","https://ap.wps.com/l/cbCaic6LdwCDHyW8","pdf",36926,"English","# Medians\n## Find unknown median lengths (1-18)","[{\"question\":\"What do the diagrams in the medians worksheet represent?\",\"answer\":\"Each problem shows a triangle with one or more medians, and the given labels indicate the median segments whose lengths (or variables) must be determined.\"},{\"question\":\"How are the unknown lengths determined in each question?\",\"answer\":\"Use the relationships given for the median parts in the triangle diagram, then apply median properties to set up the needed equation and solve for the missing segment length or variable.\"},{\"question\":\"When a problem says “find x,” what is the goal?\",\"answer\":\"Substitute the expressions for the labeled median segments into the given median relationship, form an equation in x, and solve the resulting linear equation.\"}]","Medians - 5-Medians | PDF",1791426464]