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Pythagorean theorem. By:Quentin Green and Leighton Weber. What is the Pythagorean theorem?. a relation in Euclidean geometry among the three sides of a right triangle ( right-angled triangle ).
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Pythagorean theorem By:Quentin Green and LeightonWeber
What is the Pythagorean theorem? • a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). • theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation
Real-life examples • Baseball Diamond • Height of a Building • Two friends meeting at a specific destination • Ramp of a moving truck • Measurement of TV
Pythagorean triples • consists of three positive integers a, b, and c, such that a2 + b2 = c2. • such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k
Resources • en.wikipedia.org/wiki/Pythagoreantriple • en.wikipedia.org/wiki/Pythagoreantheorem A video http://www.youtube.com/watch?v=CAkMUdeB06o