{"id":112,"date":"2023-07-29T18:33:44","date_gmt":"2023-07-29T22:33:44","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/?post_type=chapter&#038;p=112"},"modified":"2023-11-02T14:39:11","modified_gmt":"2023-11-02T18:39:11","slug":"pythagorean-theorem","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/chapter\/pythagorean-theorem\/","title":{"raw":"Pythagorean Theorem","rendered":"Pythagorean Theorem"},"content":{"raw":"The equation for the Pythagorean theorem is <strong><span style=\"color: #ff00ff;\">A<sup>2 <\/sup>+ B<sup>2<\/sup> = C<sup>2<\/sup><\/span><\/strong>\r\n\r\nWhere A and B are the lengths of the two legs of the triangle, and C is the length of the hypotenuse.\r\n\r\nWe use special words to describe the sides of right triangles.\r\n\r\nThe <strong><span style=\"color: #00ff00;\">hypotenuse<\/span><\/strong> of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle.\r\n\r\n<img class=\"alignnone size-full wp-image-317\" src=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha1-1.png\" alt=\"\" width=\"143\" height=\"107\" \/>\r\nA right triangle always has one 90 degree angle.\r\n\r\nThe other two sides are called the opposite and adjacent sides. These sides are labeled in relation to an angle.\r\n\r\nThe <strong><span style=\"color: #000080;\">opposite<\/span> <\/strong>side is across from a given angle.\r\n\r\n<img class=\"alignnone size-full wp-image-319\" src=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha2-1.png\" alt=\"\" width=\"299\" height=\"96\" \/>\r\nThe <strong><span style=\"color: #ff6600;\">adjacent<\/span><\/strong> side is the non-hypotenuse side that is next to a given angle.\r\n\r\n<img class=\"alignnone size-medium wp-image-320\" src=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha3-300x79.png\" alt=\"\" width=\"300\" height=\"79\" \/>\r\nNote: If the side opposite the right angle is the hypotenuse and the side across the given angle is the opposite, then the remaining side has to be the adjacent.","rendered":"<p>The equation for the Pythagorean theorem is <strong><span style=\"color: #ff00ff;\">A<sup>2 <\/sup>+ B<sup>2<\/sup> = C<sup>2<\/sup><\/span><\/strong><\/p>\n<p>Where A and B are the lengths of the two legs of the triangle, and C is the length of the hypotenuse.<\/p>\n<p>We use special words to describe the sides of right triangles.<\/p>\n<p>The <strong><span style=\"color: #00ff00;\">hypotenuse<\/span><\/strong> of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-317\" src=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha1-1.png\" alt=\"\" width=\"143\" height=\"107\" srcset=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha1-1.png 143w, https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha1-1-65x49.png 65w\" sizes=\"auto, (max-width: 143px) 100vw, 143px\" \/><br \/>\nA right triangle always has one 90 degree angle.<\/p>\n<p>The other two sides are called the opposite and adjacent sides. These sides are labeled in relation to an angle.<\/p>\n<p>The <strong><span style=\"color: #000080;\">opposite<\/span> <\/strong>side is across from a given angle.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-319\" src=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha2-1.png\" alt=\"\" width=\"299\" height=\"96\" srcset=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha2-1.png 299w, https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha2-1-65x21.png 65w, https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha2-1-225x72.png 225w\" sizes=\"auto, (max-width: 299px) 100vw, 299px\" \/><br \/>\nThe <strong><span style=\"color: #ff6600;\">adjacent<\/span><\/strong> side is the non-hypotenuse side that is next to a given angle.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-320\" src=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha3-300x79.png\" alt=\"\" width=\"300\" height=\"79\" srcset=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha3-300x79.png 300w, https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha3-65x17.png 65w, https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha3-225x59.png 225w, https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Pytha3.png 349w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nNote: If the side opposite the right angle is the hypotenuse and the side across the given angle is the opposite, then the remaining side has to be the adjacent.<\/p>\n","protected":false},"author":2001,"menu_order":5,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-112","chapter","type-chapter","status-publish","hentry"],"part":92,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/112","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/users\/2001"}],"version-history":[{"count":5,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/112\/revisions"}],"predecessor-version":[{"id":871,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/112\/revisions\/871"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/parts\/92"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/112\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/media?parent=112"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapter-type?post=112"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/contributor?post=112"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/license?post=112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}