[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-637915-105":59,"doc-detail-637915-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","pythagoras-theorem-word-problems-1","Pythagoras' Theorem Word Problems - 1","","This document provides a set of practical word problems designed to test the application of Pythagoras' theorem. It features three distinct real-world scenarios, including calculating the length of a ladder leaning against a house, determining the diagonal length of a rectangular garden fence, and finding the direct displacement of a walking route. Each problem is presented alongside its step-by-step solution, demonstrating the use of square roots and the Pythagorean formula to solve for unknown side lengths in right-angled triangles. The content serves as an effective learning resource for students to practice and master basic geometric principles in a functional context.",{"@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/pythagoras-theorem-word-problems-1/637915/",{"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/pythagoras-theorem-word-problems-1/637915.png","ImageObject",300,407,{"name":92,"@type":93},"dhado","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you calculate the length of a ladder leaning against a house?","Question",{"text":112,"@type":113},"Using Pythagoras' theorem, you square the distance from the house (5ft) and the height on the house (12ft), add them together, and find the square root of the sum, resulting in 13ft.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the length of the fence needed to split a 12m by 20m rectangular garden diagonally?",{"text":117,"@type":113},"Applying the theorem, the calculation is the square root of (12 squared + 20 squared), which equals the square root of 544, resulting in approximately 23.3 meters.",{"name":119,"@type":110,"acceptedAnswer":120},"How far is Sally from her starting point after walking 4 miles north and 3 miles east?",{"text":121,"@type":113},"Sally's displacement is calculated using the square root of (4 squared + 3 squared), which equals the square root of 25, resulting in a distance of 5 miles.","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},637915,1792898274,{"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":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24},5909893218464,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Name Date  \nPYTHAGORAS’ THEOREM WORD PROBLEMS 1  \n1) A ladder is placed 5ft away from a house. The ladder comes up to 12ft on the side of the house. How long is the ladder?  \n5ft  \n2) Tyger has a rectangular garden measuring 12m by 20m that he wants to split diagonally from corner to corner using a fence. How long does his fence need  \nto be? Give your answer to 1dp.  \n12m  \n20m  \n3) Sally walks 4 miles due north and then 3 miles due east. How far has she walked as the crow flies from her starting point?  \n4 miles  \nstart  \nName Date  \nPYTHAGORAS’ THEOREM WORD PROBLEMS 1 ANSWERS  \n1) A ladder is placed 5ft away from a house. The ladder comes up to 12ft on the side of the house. How long is the ladder?  \nAnswer = √(52 + 122 ) = √169 = 13ft  \n5ft  \n2) Tyger has a rectangular garden measuring 12m by 20m that he wants to split diagonally from corner to corner using a fence. How long does his fence need  \nto be? Give your answer to 1dp.  \n12m  \n20m  \nAnswer = √(202 + 122 ) = √544 = 23. 3m  \n3) Sally walks 4 miles due north and then 3 miles due east. How far has she walked as the crow flies from her starting point?  \n4 miles  \nstart  \nAnswer = √ (42 + 32 ) = √25 = 5 miles","cbCaiamqQmUjv0IL","https://ap.wps.com/l/cbCaiamqQmUjv0IL","pdf",158432,"English","# Word Problems\n## Solutions","[{\"question\":\"How do you calculate the length of a ladder leaning against a house?\",\"answer\":\"Using Pythagoras' theorem, you square the distance from the house (5ft) and the height on the house (12ft), add them together, and find the square root of the sum, resulting in 13ft.\"},{\"question\":\"What is the length of the fence needed to split a 12m by 20m rectangular garden diagonally?\",\"answer\":\"Applying the theorem, the calculation is the square root of (12 squared + 20 squared), which equals the square root of 544, resulting in approximately 23.3 meters.\"},{\"question\":\"How far is Sally from her starting point after walking 4 miles north and 3 miles east?\",\"answer\":\"Sally's displacement is calculated using the square root of (4 squared + 3 squared), which equals the square root of 25, resulting in a distance of 5 miles.\"}]","Pythagoras' Theorem Word Problems - 1 | PDF",1792681685]