[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-481405-105":59,"doc-detail-481405-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","identifying-triangle-angles-and-lengths-determine-if-possible-or-impossible","Identifying Triangle Angles and Lengths - Determine if possible or impossible","","Worksheet and answer key for identifying whether given triangle angle or side-length statements are possible (p) or impossible (i). The problems test triangle feasibility using multiple sets of interior angles in degrees and sets of side lengths in common units (cm, in, ft, mm). 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Then mark it as possible (p) or impossible (i).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which units appear in the side-length problems?",{"text":117,"@type":113},"The side-length problems use mixed units including cm, in, ft, and mm, with three side lengths provided each time.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the answers for problems 1–20 be found?",{"text":121,"@type":113},"The document includes an answer key section listing each problem number with its corresponding p or i 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with the angles: 41°, 21° and 105° .  \n3) A triangle with the angles: 4°, 75° and 101° .  \n4) A triangle with the angles: 89°, 2° and 89° .  \n5) A triangle with the angles: 165°, 7° and 8° .  \n6) A triangle with the angles: 31°, 3° and 146° .  \n7) A triangle with the angles: 79°, 48° and 35° .  \n8) A triangle with the angles: 138°, 32° and 6° .  \n9) A triangle with the angles: 83°, 55° and 42° .  \n10) A triangle with the angles: 115°, 41° and 16° .  \n11) A triangle with the sides: 7cm, 10cm and 11cm.  \n12) A triangle with the sides: 4in, 4in and 4in.  \n13) A triangle with the sides: 4ft, 7ft and 3ft.  \n14) A triangle with the sides: 2cm, 8cm and 1cm.  \n15) A triangle with the sides: 10mm, 7mm and 11mm.  \n16) A triangle with the sides: 9cm, 10cm and 11cm.  \n17) A triangle with the sides: 4cm, 2cm and 1cm.  \n18) A triangle with the sides: 8in, 8in and 8in.  \n19) A triangle with the sides: 9in, 9in and 8in.  \n20) A triangle with the sides: 10ft, 4ft and 3ft.  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nAnswers  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nIdentifying Triangle Angles and Lengths  \nName: Answer Key  \nDetermine if the statement is possible(p) or impossible(i).  \n1) A triangle with the angles: 101°, 3° and 76° .  \n2) A triangle with the angles: 41°, 21° and 105° .  \n3) A triangle with the angles: 4°, 75° and 101° .  \n4) A triangle with the angles: 89°, 2° and 89° .  \n5) A triangle with the angles: 165°, 7° and 8° .  \n6) A triangle with the angles: 31°, 3° and 146° .  \n7) A triangle with the angles: 79°, 48° and 35° .  \n8) A triangle with the angles: 138°, 32° and 6° .  \n9) A triangle with the angles: 83°, 55° and 42° .  \n10) A triangle with the angles: 115°, 41° and 16° .  \n11) A triangle with the sides: 7cm, 10cm and 11cm.  \n12) A triangle with the sides: 4in, 4in and 4in.  \n13) A triangle with the sides: 4ft, 7ft and 3ft.  \n14) A triangle with the sides: 2cm, 8cm and 1cm.  \n15) A triangle with the sides: 10mm, 7mm and 11mm.  \n16) A triangle with the sides: 9cm, 10cm and 11cm.  \n17) A triangle with the sides: 4cm, 2cm and 1cm.  \n18) A triangle with the sides: 8in, 8in and 8in.  \n19) A triangle with the sides: 9in, 9in and 8in.  \n20) A triangle with the sides: 10ft, 4ft and 3ft.  \nAnswers  \n1. p  \n2. i  \n3. p  \n4. p  \n5. p  \n6. p  \n7. i  \n8. i  \n9. p  \n10. i  \n11. p  \n12. p  \n13. i  \n14. i  \n15. p  \n16. p  \n17. i  \n18. p  \n19. p  \n20. i  \nMath  \nSeed: 1375627723-850  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nIdentifying Triangle Angles and Lengths  \nName:  \n\n| Determine if the statement is possible(p) or impossible(i). | 1. | Answers |\n| --- | --- | --- |\n| 1) A triangle with the angles: 101°, 3° and 76° . |  |  |\n|  |  |  |\n| 2) A triangle with the angles: 41°, 21° and 105° . | 2. |  |\n|  |  |  |\n| 3) A triangle with the angles: 4°, 75° and 101° . | 3.\u003Cbr>4. |  |\n|  |  |  |\n|  |  |  |\n| 4) A triangle with the angles: 89°, 2° and 89° . | 5. |  |\n|  |  |  |\n| 5) A triangle with the angles: 165°, 7° and 8° . | 6. |  |\n|  |  |  |\n| 6) A triangle with the angles: 31°, 3° and 146° . | 7.\u003Cbr>8. |  |\n|  |  |  |\n|  |  |  |\n| 7) A triangle with the angles: 79°, 48° and 35° . | 9. |  |\n|  |  |  |\n| 8) A triangle with the angles: 138°, 32° and 6° . | 10.\u003Cbr>11. |  |\n|  |  |  |\n|  |  |  |\n| 9) A triangle with the angles: 83°, 55° and 42° . | 12. |  |\n|  |  |  |\n| 10) A triangle with the angles: 115°, 41° and 16° . | 13. |  |\n|  |  |  |\n| 11) A triangle with the sides: 7cm, 10cm and 11cm. | 14. |  |\n|  |  |  |\n| 12) A triangle with the sid","cbCaieTL7Lks3Puv","https://ap.wps.com/l/cbCaieTL7Lks3Puv","pdf",42827,"English","# Determine if each statement is possible (p) or impossible (i)\n## Angle-based problems (1-10)\n## Side-length problems (11-20)\n## Answer key","[{\"question\":\"How do you decide whether a triangle statement is possible (p) or impossible (i)?\",\"answer\":\"For each item, use the triangle feasibility conditions to check whether the given angles or side lengths can form a valid triangle. Then mark it as possible (p) or impossible (i).\"},{\"question\":\"Which units appear in the side-length problems?\",\"answer\":\"The side-length problems use mixed units including cm, in, ft, and mm, with three side lengths provided each time.\"},{\"question\":\"Where can the answers for problems 1–20 be found?\",\"answer\":\"The document includes an answer key section listing each problem number with its corresponding p or i result.\"}]","Identifying Triangle Angles and Lengths - Determine if possible or impossible | PDF",1790796704]