[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-269857-105":59,"doc-detail-269857-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-script","Pythagoras Theorem Script","","This document, titled \"Pythagoras Theorem Script,\" explains the Pythagorean theorem and its practical applications. It details how the theorem, represented by the equation a² + b² = c², is used to find unknown side lengths in right-angled triangles, a fundamental concept in geometry with widespread use in fields such as engineering for spacecraft trajectories, architecture for building dimensions, and construction for foundation stability. The script provides step-by-step examples of calculating the hypotenuse (side c) when sides a and b are known, and conversely, how to determine a missing side (side a) when the hypotenuse and another side are given. For additional information, readers are encouraged to reach out via email, visit the provided website, or contact the library in person. The document is presented as a script for a video explainer, aiming to make mathematical concepts accessible and relatable.",{"@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-script/269857/",{"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-script/269857.png","ImageObject",300,407,{"name":92,"@type":93},"Eliana","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-26","2026-09-15",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},"What is the Pythagorean theorem and its equation?","Question",{"text":112,"@type":113},"The Pythagorean theorem is a fundamental concept in geometry used to find the length of an unknown side in a right-angled triangle. The equation is a² + b² = c², where c represents the hypotenuse, the longest side opposite the right angle.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the Pythagorean theorem applied in real-world professions?",{"text":117,"@type":113},"The theorem is used daily by engineers to calculate spacecraft paths, architects to determine building dimensions, and builders to construct stable foundations, demonstrating its practical utility beyond theoretical mathematics.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you calculate the hypotenuse (side c) using the Pythagorean theorem?",{"text":121,"@type":113},"To find side c, you input the known values of sides a and b into the equation a² + b² = c². For instance, if a=8cm and b=5cm, then 8² + 5² = c², resulting in 64 + 25 = c², so c² = 89. The square root of 89, approximately 9.433, gives you the length of side c, rounded down to 9cm.","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},269857,1789454077,{"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":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":129,"read_time":24},4398048949847,"https://ap-avatar.wpscdn.com/avatar/400002536579ef2da7f?_k=1778318612642679267","Pythagoras Theorem, Script  \nThis video is going to explain Pythagoras Theorem. We use Pythagoras when we want to find the length of an unknown side or to find the distance between two points.  \nIt is used every day. Engineers use it to calculate the paths of spacecrafts and rockets. Architects use it to calculate heights of buildings and lengths of walls. And builders use it to build solid foundations. But how?  \nWell, key to understanding Pythagoras is being able to identify the hypotenuse. That is, the longest side of a right-angle triangle. The equation tor remember is a² + b² = c² .  \nLet’s try. Here we can see that on our triangle side a is 8cm, and side b is 5cm. We need to workout what side c is. So, we put the numbers in that we do know.  \n8² + 5² = c² . That is, 64 + 25 = c² . So we know that c² = 89. Then, to get c from c² we need to find the square root of our answer. The square root of 89 is 9.433. We round our answer down to 9. Therefore, side c = 9cm.  \nWhat about when we are looking for one of the other sides? This example has side A missing. The formula is the same and we put in the numbers that we know.  \nA² + 4² = 9² . A² + 16 = 81. We need to transpose our equation to work it out. 81 – 16 = a² . So, a²= 65. Finally, we find the square root of 65, which gives us a = 8.062. We round down to give usan answer of 8cm for side a.  \nFor further examples and explanation, please contact us by email, on our website or come see us in the library.  \nPage 2 of 2","cbCaipj3PsG3y23u","https://ap.wps.com/l/cbCaipj3PsG3y23u","pdf",281538,"English","# Pythagoras Theorem: Finding Unknown Sides\n## Calculating the Hypotenuse (Side c)\n## Calculating Other Sides (Side a)","[{\"question\":\"What is the Pythagorean theorem and its equation?\",\"answer\":\"The Pythagorean theorem is a fundamental concept in geometry used to find the length of an unknown side in a right-angled triangle. The equation is a² + b² = c², where c represents the hypotenuse, the longest side opposite the right angle.\"},{\"question\":\"How is the Pythagorean theorem applied in real-world professions?\",\"answer\":\"The theorem is used daily by engineers to calculate spacecraft paths, architects to determine building dimensions, and builders to construct stable foundations, demonstrating its practical utility beyond theoretical mathematics.\"},{\"question\":\"How do you calculate the hypotenuse (side c) using the Pythagorean theorem?\",\"answer\":\"To find side c, you input the known values of sides a and b into the equation a² + b² = c². For instance, if a=8cm and b=5cm, then 8² + 5² = c², resulting in 64 + 25 = c², so c² = 89. The square root of 89, approximately 9.433, gives you the length of side c, rounded down to 9cm.\"}]","Pythagoras Theorem Script | PDF"]