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Students find missing side lengths when given different measurements, round to the nearest tenth when required, and otherwise express answers in simplest radical form. It also includes classifications of triangles as right, acute, or obtuse by analyzing side lengths and determining whether three lengths satisfy right-triangle conditions.",{"@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/the-pythagorean-theorem-and-its-converse-worksheets/523124/",{"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/the-pythagorean-theorem-and-its-converse-worksheets/523124.png","ImageObject",300,407,{"name":92,"@type":93},"eBook King","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-11","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":56},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the worksheet ask students to do first?","Question",{"text":112,"@type":113},"Students find the missing side of each triangle, using given measurements and applying the required rounding or radical form rules.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"When are answers required in simplest radical form?",{"text":117,"@type":113},"For the sections that explicitly say to leave answers in simplest radical form, students must simplify the radical expressions rather than use decimals.",{"name":119,"@type":110,"acceptedAnswer":120},"How does the worksheet determine whether a triangle is right, acute, or obtuse?",{"text":121,"@type":113},"It uses the given side lengths to test the right-triangle condition (for right triangles) and then classifies triangles as acute, obtuse, or right based on the side-length relationships.","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},523124,1791497846,{"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":56,"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},962088006270,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Kuta Software-Infinite Geometry Name   \nThe Pythagorean Theorem and Its Converse Date  Period   \nFind the missing side of each triangle. Round your answers to the nearest tenth if necessary.  \n1)  \n12 in  \n2)  \n3 mi  \nx  \n3)  \n4)  \n6.3 mi  \nx  \nFind the missing side of each triangle. Leave your answers in simplest radical form.  \n5)  \n6)  \n8 km  \nFind the missing side of each right triangle. Side c is the hypotenuse. Sides a and b are the legs. Leave your answers in simplest radical form.  \n7) a = 11 m, c = 15 m 8) b = 6 yd, c = 4 yd  \nState if each triangle is a right triangle.  \n9)  \n9 m  \n12 m  \n11)  \n9 yd  \n10)  \n12)  \n2 39 ft  \n39 ft  \nState if the three sides lengths form a right triangle.  \n13) 10 cm, 49.5 cm, 50.5 cm 14) 9 in, 12 in, 15 in  \nState if each triangle is acute, obtuse, or right.  \n15)  \n17 cm  \n12 cm 9 cm  \n16)  \n9.6 in  \n18 in  \nState if the three side lengths form an acute, obtuse, or right triangle.  \n17) 6 mi, 2 55 mi, 17 mi 18) 4.8 km, 28.6 km, 29 km  \nKuta Software-Infinite Geometry Name   \nThe Pythagorean Theorem and Its Converse Date  Period   \nFind the missing side of each triangle. Round your answers to the nearest tenth if necessary.  \n1)  \n12 in  \nx  \n5 in  \n2)  \n3 mi 5 mi  \n3)  \n14.7 km 8.6 km  \n4)  \n6.3 mi  \nx  \n14.1 mi  \nFind the missing side of each triangle. Leave your answers in simplest radical form.  \n5)  \n13 yd  \n2 14 yd  \n6)  \n8 km  \n8 3 km  \nFind the missing side of each right triangle. Side c is the hypotenuse. Sides a and b are the legs. Leave your answers in simplest radical form.  \n7) a = 11 m, c = 15 m 8) b = 6 yd, c = 4 yd  \n2 26 m 10 yd  \nState if each triangle is a right triangle.  \n9)  \n9 m  \n12 m Yes  \n11)  \n9 yd  \nNo  \nState if the three sides lengths form a right triangle.  \n13) 10 cm, 49.5 cm, 50.5 cm  \nYes  \n10)  \n2 39 ft  \n12)  \nYes  \n39 ft No  \n14) 9 in, 12 in, 15 in  \nYes  \nState if each triangle is acute, obtuse, or right.  \n15)  \n17 cm  \n12 cm 9 cm  \nObtuse  \n16)  \n9.6 in  \n18 in  \nAcute  \nState if the three side lengths form an acute, obtuse, or right triangle.  \n17) 6 mi, 2 55 mi, 17 mi 18) 4.8 km, 28.6 km, 29 km  \nObtuse Right  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaic6129eBcbXc","https://ap.wps.com/l/cbCaic6129eBcbXc","pdf",35612,"English","# Find Missing Sides\n## Round to the Nearest Tenth\n## Simplest Radical Form\n## Right Triangles (c as Hypotenuse)\n# Classify Triangles\n## Right Triangle Check\n## Acute, Obtuse, or Right","[{\"question\":\"What does the worksheet ask students to do first?\",\"answer\":\"Students find the missing side of each triangle, using given measurements and applying the required rounding or radical form rules.\"},{\"question\":\"When are answers required in simplest radical form?\",\"answer\":\"For the sections that explicitly say to leave answers in simplest radical form, students must simplify the radical expressions rather than use decimals.\"},{\"question\":\"How does the worksheet determine whether a triangle is right, acute, or obtuse?\",\"answer\":\"It uses the given side lengths to test the right-triangle condition (for right triangles) and then classifies triangles as acute, obtuse, or right based on the side-length relationships.\"}]","The Pythagorean Theorem and Its Converse - Worksheets | PDF",1791426521]