[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523067-105":59,"doc-detail-523067-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","inequalities-in-one-triangle-worksheet","Inequalities in One Triangle - Worksheet","","Worksheet tasks for ordering angles and sides in triangles using inequality relationships. Activities ask students to arrange each triangle’s angle measures from smallest to largest, identify the largest and smallest angles, and rank side lengths from shortest to longest. Additional questions require determining the longest and shortest sides. A critical-thinking set uses given constraints on triangle sides and angle measures to find the range of possible measures for an unknown angle.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/inequalities-in-one-triangle-worksheet/523067/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/inequalities-in-one-triangle-worksheet/523067.png","ImageObject",300,407,{"name":92,"@type":93},"Pentious","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you order the angles in each triangle from smallest to largest?","Question",{"text":112,"@type":113},"Use the inequality information provided for each triangle’s angle measures, then list the angles in increasing order.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does it mean to identify the largest and smallest angle in each triangle?",{"text":117,"@type":113},"Compare the given angle measures (or their implied inequalities) and select the maximum and minimum angles for that triangle.",{"name":119,"@type":110,"acceptedAnswer":120},"How do the critical thinking questions determine a range for an unknown angle?",{"text":121,"@type":113},"They use the stated triangle side condition (which side is longest/shortest) and the given angle measure(s) to constrain the possible value(s) of the remaining angle, producing an inequality range.","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},523067,1791504951,{"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":52,"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   \nInequalities in One Triangle Date  Period   \nOrder the angles in each triangle from smallest to largest.  \n1) L  \n􀀔􀀗 yd   \nK  \n􀀔􀀙 yd  \n􀀔􀀛 yd  \nJ  \n2)  \nL  \nK  \n􀀔􀀛 cm 􀀔􀀖 cm  \n􀀕􀀓 cm M  \n3) In 􀀧RQP QP 􀀠 􀀔􀀘 ft RP 􀀠 􀀕􀀘 ft  \nRQ 􀀠 􀀔􀀖 ft  \n4) In 􀀧 TUV UV 􀀠 􀀔􀀚 yd TV 􀀠 􀀔􀀗 yd TU 􀀠 􀀜 yd  \nName the largest and smallest angle in each triangle.  \n5) D  \n􀀔􀀙 ft  \n􀀕􀀓 ft  \nC  \n􀀔􀀚 ft  \nB  \n7) In 􀀧 UVW VW 􀀠 􀀔􀀖 m UW 􀀠 􀀔􀀔􀀑􀀚 m UV 􀀠 􀀘􀀑􀀛 m  \n6) Y  \n􀀔􀀜 ft 􀀔􀀚 ft  \nX  \n􀀕􀀓 ft  \nW  \n8) In 􀀧EFGFG 􀀠 􀀔􀀓􀀑􀀜 in EG 􀀠 􀀔􀀚 in EF 􀀠 􀀔􀀓􀀑􀀜 in  \nOrder the sides of each triangle from shortest to longest.  \n9) F  \n55°  \n63° 62°  \nG E  \n11) In 􀀧 VWXm􀂑V 􀀠 50°  \nm􀂑W 􀀠 48°  \nm􀂑X 􀀠 82°  \nName the longest and shortest side in each triangle.  \n13)  \nC  \n15) In 􀀧DEFm􀂑D 􀀠 35°  \nm􀂑F 􀀠 95°  \nCritical thinking questions:  \n17) In triangle ABC: AB is the longest side.  \n70° is the measure of angle B.  \nFind the range of possible measures for angle A.  \n10) L M 98°  \nN  \n12) In 􀀧STUm􀂑S 􀀠 50° m􀂑T 􀀠 70° m􀂑U 􀀠 60°  \n14) F  \n66°  \n48° 66°  \nE D  \n16) In 􀀧KLMm􀂑K 􀀠 50°  \nm􀂑L 􀀠 100°  \nm􀂑M 􀀠 30°  \n18) In triangle XYZ:  \nXY is the shortest side.  \n30° is the measure of angle Y.  \nFind the range of possible measures for angle X.  \nKuta Software-Infinite Geometry Name   \nInequalities in One Triangle Date  Period   \nOrder the angles in each triangle from smallest to largest.  \n1)  \nL  􀀔􀀙 yd 􀀔􀀗 yd 􀀔􀀛 yd  \nK  \n􀂑J, 􀂑K, 􀂑L  \nJ  \n2)  \nL  \nK  \n􀀔􀀛 cm 􀀔􀀖 cm  \n􀀕􀀓 cm  \n􀂑L, 􀂑M, 􀂑K  \nM  \n3) In 􀀧RQP QP 􀀠 􀀔􀀘 ft RP 􀀠 􀀕􀀘 ft RQ 􀀠 􀀔􀀖 ft  \n􀂑P, 􀂑R, 􀂑Q  \n4) In 􀀧 TUV UV 􀀠 􀀔􀀚 yd TV 􀀠 􀀔􀀗 yd TU 􀀠 􀀜 yd  \n􀂑V, 􀂑U, 􀂑T  \nName the largest and smallest angle in each triangle.  \n5) D  \nC 􀀔􀀚 ft  \n􀂑C, 􀂑B  \n7) In 􀀧 UVW VW 􀀠 􀀔􀀖 m UW 􀀠 􀀔􀀔􀀑􀀚 m UV 􀀠 􀀘􀀑􀀛 m  \n􀂑U, 􀂑W  \n6)  \nB  \nX  \nY  \n􀀕􀀓 ft  \n􀂑Y, 􀂑X  \nW  \n8) In 􀀧EFGFG 􀀠 􀀔􀀓􀀑􀀜 in EG 􀀠 􀀔􀀚 in EF 􀀠 􀀔􀀓􀀑􀀜 in  \n􀂑F; 􀂑E and 􀂑G  \nOrder the sides of each triangle from shortest to longest.  \n9) F  \n55°  \n63° 62°  \nGE, GF, FE  \n11) In 􀀧 VWXm􀂑V 􀀠 50°  \nm􀂑W 􀀠 48°  \nm􀂑X 􀀠 82°  \nVX, WX, VW  \nName the longest and shortest side in each triangle.  \n13)  \nC  \nAC, BC  \n15) In 􀀧DEFm􀂑D 􀀠 35°  \nm􀂑F 􀀠 95°  \nDE, EF  \nCritical thinking questions:  \n17) In triangle ABC: AB is the longest side.  \n70° is the measure of angle B.  \nFind the range of possible measures for angle A.  \n􀀓 􀀟 A 􀀟 􀀗􀀓°  \n10) L M 98°  \nN  \nLM, LN, MN  \n12) In 􀀧STUm􀂑S 􀀠 50°  \nm􀂑T 􀀠 70°  \nm􀂑U 􀀠 60°  \nTU, ST, SU  \n14) F  \n66°  \n48° 66°  \nE D  \nEF and DE; DF  \n16) In 􀀧KLMm􀂑K 􀀠 50°  \nm􀂑L 􀀠 100°  \nm􀂑M 􀀠 30°  \nKM, KL  \n18) In triangle XYZ:  \nXY is the shortest side.  \n30° is the measure of angle Y.  \nFind the range of possible measures for angle X.  \n􀀔􀀕􀀓° \u003C X \u003C 􀀔􀀘􀀓°  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCairH6Fp1Nzxv5","https://ap.wps.com/l/cbCairH6Fp1Nzxv5","pdf",31034,"English","# Order the angles in each triangle from smallest to largest\n## Name the largest and smallest angle in each triangle\n# Order the sides of each triangle from shortest to longest\n## Name the longest and shortest side in each triangle\n# Critical thinking questions","[{\"question\":\"How do you order the angles in each triangle from smallest to largest?\",\"answer\":\"Use the inequality information provided for each triangle’s angle measures, then list the angles in increasing order.\"},{\"question\":\"What does it mean to identify the largest and smallest angle in each triangle?\",\"answer\":\"Compare the given angle measures (or their implied inequalities) and select the maximum and minimum angles for that triangle.\"},{\"question\":\"How do the critical thinking questions determine a range for an unknown angle?\",\"answer\":\"They use the stated triangle side condition (which side is longest/shortest) and the given angle measure(s) to constrain the possible value(s) of the remaining angle, producing an inequality range.\"}]","Inequalities in One Triangle - Worksheet | PDF",1791426458]