[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-635146-105":59,"doc-detail-635146-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-educational-geometry-support-guide","Pythagoras' Theorem - Educational Geometry Support Guide","","This educational document provides a comprehensive overview of Pythagoras' theorem, a fundamental geometric principle describing the relationship between the sides of a right-angled triangle. The text clearly defines the theorem as a squared + b squared = c squared, where c represents the hypotenuse and a and b represent the remaining sides. It visually demonstrates this concept through diagrams showing the area equivalence of squares formed on each side of the triangle. Additionally, the guide outlines derived algebraic formulas for calculating individual side lengths when two sides are known, facilitating practical application for students. Designed for clarity and conceptual understanding, the document serves as an essential resource for learners exploring basic trigonometry and spatial geometry. Its structured layout ensures that readers can easily grasp both the theory and the mathematical utility of the theorem in various geometric contexts.",{"@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-educational-geometry-support-guide/635146/",{"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-educational-geometry-support-guide/635146.png","ImageObject",300,407,{"name":92,"@type":93},"Aditya","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is Pythagoras' theorem?","Question",{"text":112,"@type":113},"Pythagoras' theorem states that in a right-angled triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse, represented by the formula a² + b² = c².","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the sides of the triangle represented in the formula?",{"text":117,"@type":113},"In the formula a² + b² = c², 'c' represents the hypotenuse, which is the longest side of the right triangle, while 'a' and 'b' represent the two shorter sides.",{"name":119,"@type":110,"acceptedAnswer":120},"Can the theorem be rearranged to find a single side length?",{"text":121,"@type":113},"Yes, the formula can be rearranged to solve for unknown sides, such as calculating the hypotenuse using c = √(a² + b²) or finding a shorter side using a = √(c² - b²) and b = √(c² - a²).","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},635146,1792876408,{"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":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"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":81},962085564549,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Name Date  \nPYTHAGORAS’THEOREM  \nPythagoras’ theorem states that in a right triangle (or right-angled triangle) the sum of the squares of the two smaller sides of the triangle is equal to the square of the hypotenuse.  \nIn other words, a2 + b2 = c2.  \nwhere c is the hypotenuse (the longest side) and a and b are the other sides of the right triangle.  \nWhat does this mean?  \nThis means that for any right triangle, the orange square (which is the square made using the longest side) has the same area as the other two blue squares added together.  \nOther formulae  \nAs a result of the formula a2 + b2 = c2, we can also deduce that:  \n• b2 = c2-a2 and a2 = c2-b2  \n• c = √( a2 + b2)  \n• b = √( c2-a2) and a = √( c2-b2)","cbCailcRto24A2Rc","https://ap.wps.com/l/cbCailcRto24A2Rc","pdf",157976,"English","# Pythagoras' Theorem Definition\n## Geometric Interpretation\n## Related Algebraic Formulae","[{\"question\":\"What is Pythagoras' theorem?\",\"answer\":\"Pythagoras' theorem states that in a right-angled triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse, represented by the formula a² + b² = c².\"},{\"question\":\"How are the sides of the triangle represented in the formula?\",\"answer\":\"In the formula a² + b² = c², 'c' represents the hypotenuse, which is the longest side of the right triangle, while 'a' and 'b' represent the two shorter sides.\"},{\"question\":\"Can the theorem be rearranged to find a single side length?\",\"answer\":\"Yes, the formula can be rearranged to solve for unknown sides, such as calculating the hypotenuse using c = √(a² + b²) or finding a shorter side using a = √(c² - b²) and b = √(c² - a²).\"}]","Pythagoras' Theorem - Educational Geometry Support Guide | PDF",1792675392]