[{"data":1,"prerenderedAt":129},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Fgeometria\u002Ftriangulos?{}":3,"topics-with-content:geometria":114},{"course":4,"topic":12,"counts":17,"universities":22,"channels":34,"sampleQuestions":72,"sameName":113},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},3,"geometria","Geometría","Geom.","math","i-lucide-triangle",2,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},302,"triangulos","Triángulos",1,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},51,420,260,7323,[23,31],{"universityId":16,"questions":24,"years":25},34,[26,27,28,29,30],2026,2025,2024,2023,2022,{"universityId":11,"questions":32,"years":33},17,[26,27,28,29],[35,38,41,44,47,50,52,55,58,61,64,67,69],{"name":36,"classes":37},"Academia ipluton",99,{"name":39,"classes":40},"Alberto Cruz",78,{"name":42,"classes":43},"Ciclo Uni-San Marcos",67,{"name":45,"classes":46},"Academia Grupo Ciencias",50,{"name":48,"classes":49},"Academias Aduni y César Vallejo",27,{"name":51,"classes":49},"Salón Sapiens",{"name":53,"classes":54},"Academia Internet",23,{"name":56,"classes":57},"META VILLARREAL",15,{"name":59,"classes":60},"Trilce Multimedia",11,{"name":62,"classes":63},"CEPRE UNMSM",9,{"name":65,"classes":66},"Academia_Pitagoras",5,{"name":68,"classes":66},"Pamer Corporación Educativa",{"name":70,"classes":71},"Saco Oliveros",4,[73,98],{"id":74,"courseId":5,"topicId":13,"pastExamId":75,"stem":76,"options":77,"correctKey":79,"explanation":93,"difficulty":11,"status":94,"source":95,"stats":96},1649,198,"En un triángulo $ABC$, se traza la bisectriz interior $BR$. Si $AB=c$, $AC=b$ y $BC=a$, entonces calcule $AR$.",[78,81,84,87,90],{"key":79,"text":80},"A","$\\dfrac{bc}{a+c}$",{"key":82,"text":83},"B","$\\dfrac{ac}{a+c}$",{"key":85,"text":86},"C","$\\dfrac{bc}{b+c}$",{"key":88,"text":89},"D","$\\dfrac{ab}{a+c}$",{"key":91,"text":92},"E","$\\dfrac{ac}{b+c}$","","published","UNI 2026-1 · Matemática",{"attempts":97,"accuracy":97},0,{"id":99,"courseId":5,"topicId":13,"pastExamId":75,"stem":100,"options":101,"correctKey":82,"explanation":93,"difficulty":66,"status":94,"source":95,"stats":112},1653,"En un triángulo $ABC$, exterior y relativo al lado $AC$, se ubica el punto $D$, tal que $m\\measuredangle BAC=m\\measuredangle CAD=20^{\\circ}$, $m\\measuredangle BCA=40^{\\circ}$ y $m\\measuredangle ACD=10^{\\circ}$. Si $CD=12$ dm, calcule la longitud (en dm) del lado $BC$.",[102,104,106,108,110],{"key":79,"text":103},"6",{"key":82,"text":105},"$4\\sqrt{3}$",{"key":85,"text":107},"$6\\sqrt{2}$",{"key":88,"text":109},"9",{"key":91,"text":111},"$6\\sqrt{3}$",{"attempts":97,"accuracy":97},[],[115,13,116,117,118,119,120,121,122,123,124,125,126,127,128],301,303,304,305,306,307,308,309,310,311,312,313,314,315,1791501527137]