{"product_id":"reciprocity-and-contrapositive-in-the-samuel-awadhifo-ayibho-9786207898329","title":"Reciprocity and contrapositive in the Pythagorean theorem","description":"The reciprocal of the Pythagorean theorem is the same as explaining that a triangle is right-angled. For example, consider a triangle whose lengths are 3, 4 and 5. To explain that this triangle is a right-angled triangle, we need to use the reciprocal of the Pythagorean theorem. On the one hand, we have 32+42=9+16=25. On the other hand, it's true that 52=25. So 32+42=52 and, by the reciprocal of the Pythagorean theorem, it's a right-angled triangle. If we want to explain that a triangle is a right-angled triangle, we need to sum the squares of the two shortest lengths and check whether this sum is equal to the square of the longest side.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Samuel Awadhifo Ayibho\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 620789832X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9786207898329\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Our Knowledge Publishing\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/31\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 60\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.22lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.14d","brand":"Samuel Awadhifo Ayibho","offers":[{"title":"Paperback","offer_id":48446473371903,"sku":"9786207898329","price":48.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_076cdf62-8b7e-48fb-8d11-c95adc5d4ed9.jpg?v=1777224870","url":"https:\/\/www.whiterainbookhouse.com\/products\/reciprocity-and-contrapositive-in-the-samuel-awadhifo-ayibho-9786207898329","provider":"WR Book House","version":"1.0","type":"link"}