[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-637916-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-637916-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","pythagoras-theorem-word-problems-2-educational-exercises","Pythagoras Theorem Word Problems 2 - Educational Exercises","","This document provides a set of geometry-based word problems focusing on the application of the Pythagorean theorem. Designed for educational purposes, the exercises challenge students to solve real-world scenarios, such as calculating roof beam lengths, determining distances in geocaching, and finding the placement of anchor lines for towers. Each problem requires the use of the formula a²+b²=c² to find missing side lengths of right-angled triangles. The resource includes a comprehensive answer key at the end, offering step-by-step calculations and solutions for each problem, making it an ideal tool for classroom practice and self-study assessment.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/pythagoras-theorem-word-problems-2-educational-exercises/637916/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/pythagoras-theorem-word-problems-2-educational-exercises/637916.png","ImageObject",300,407,{"name":42,"@type":43},"dhado","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you calculate the length of the roof beams for a shed with a 5m width and 1.3m height?","Question",{"text":62,"@type":63},"Using the Pythagorean theorem, you calculate the square root of (5² + 1.3²), which equals approximately 5.2m.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"In the geocaching scenario, if Captain is 40m from the treasure and walks 24m west, how far south must he travel?",{"text":67,"@type":63},"By applying the Pythagorean theorem, the distance south is the square root of (40² - 24²), which results in 32m.",{"name":69,"@type":60,"acceptedAnswer":70},"How far from a 96ft tower can a 105ft anchor line be placed?",{"text":71,"@type":63},"The distance is determined by calculating the square root of (105² - 96²), which equals 42.5ft.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},637916,1792919516,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":95},5909893218464,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Name Date  \nPYTHAGORAS’ THEOREM WORD PROBLEMS 2  \n1) A shed with a pent roof need to have some new roof beams fitted. The width of the shed is 5m and the height of the pent roof is 1.3m. Work out the length of the roof beams needed to 1dp.  \n1.3m  \n2) Captain is on a geo-cache hunt. His gps tells him that he is 40m away from the treasure. He walks 24m due west. The gps compass now tells him that the treasure is due south from where he is standing. How far south does he  \nneed to go to find it?  \n3) An anchor line for a tower needs to be replaced. The tower is 96ft tall. The anchor line is 105ft long. How far from the tower can it be placed, to the nearest foot?  \n\n| 96ft | | |\n| --- | --- | --- |\n\nName Date  \nPYTHAGORAS’ THEOREM WORD PROBLEMS 2 ANSWERS  \n1) A shed with a pent roof need to have some new roof beams fitted. The width of the shed is 5m and the height of the pent roof is 1.3m. Work out the length of the roof beams needed to 1dp.  \n1.3m  \nAnswer: √(52 + 1.32 ) = 5.2m  \n2) Captain is on a geo-cache hunt. His gps tells him that he is 40m away from the treasure. He walks 24m due west. The gps compass now tells him that the treasure is due south from where he is standing. How far south does he  \nneed to go to find it?  \n40m  \nAnswer: √(402 – 242 ) = 32m  \n24m  \n3) An anchor line for a tower needs to be replaced. The tower is 96ft tall. The anchor line is 105ft long. How far from the tower can it be placed, to 1dp?  \n\n| 96ft | | |\n| --- | --- | --- |\n\nAnswer: √(1052 – 962 ) = 42. 5ft","cbCaib0xXqWk97ir","https://ap.wps.com/l/cbCaib0xXqWk97ir","pdf",207010,"English","# Pythagoras Theorem Word Problems 2\n## Problem 1: Roof Beam Calculation\n## Problem 2: Geocaching Distance\n## Problem 3: Tower Anchor Line Placement\n## Answer Key","[{\"question\":\"How do you calculate the length of the roof beams for a shed with a 5m width and 1.3m height?\",\"answer\":\"Using the Pythagorean theorem, you calculate the square root of (5² + 1.3²), which equals approximately 5.2m.\"},{\"question\":\"In the geocaching scenario, if Captain is 40m from the treasure and walks 24m west, how far south must he travel?\",\"answer\":\"By applying the Pythagorean theorem, the distance south is the square root of (40² - 24²), which results in 32m.\"},{\"question\":\"How far from a 96ft tower can a 105ft anchor line be placed?\",\"answer\":\"The distance is determined by calculating the square root of (105² - 96²), which equals 42.5ft.\"}]","Pythagoras Theorem Word Problems 2 - Educational Exercises | PDF",1792681688]