Thursday, September 12, 2013

Mat126

n² - m²2mnn² + m²Examples:1) m = 3, n = 4 n² - m² = (4)² - (3)² = 16 - 9 = 72mn = 2(3)(4) = 24n² + m² = (4)² + (3)² = 16 + 9 = 25Triple: 7, 24, 25Check:(7)² + (24)² = (25)²49 + 576 = 625625 = 6252) m = 1, n = 3n² - m² = (3)² - (1)² = 9 - 1 = 82mn = 2(1)(3) = 6n² + m² = (3)² + (1)² = 9 + 1 = 10Triple: 6, 8, 10Check:(6)² + (8)² = (10)²36 + 64 = 100100 = 1003) m = 4, n = 5n² - m² = (5)² - (4)² = 25 - 16 = 92mn = 2(4)(5) = 40n² + m² = (5)² + (4)² = 25 + 16 = 41Triple: 9, 40, 41Check:(9)² + (40)² = (41)²@font-face { font-family: Times New roman; }p.MsoNormal, li.MsoNormal, div.MsoNormal { permissiveness: 0in 0in 0.0001pt; font-size: 12pt; font-family: Times New papistic; }table.MsoNormalTable { font-size: 10pt; font-family: Times New Roman; }div.Section1 { page: Section1; }81 + 1600 = 16811681 = 16814) m = 5, n = 6n² - m² = (6)² - (5)² = 36 - 25 = 112mn = 2(5)(6) = 60n² + m² = (6)² + (5)² = 36 + 25 = 61Triple: 11, 60, 61Check:(11)² + (60) ² = (61)²121 + 3600 = 37213721 = 37215) m = 2, n = 4n² - m² = (4)² - (2)² = 16 - 4 = 122mn = 2(2)(4) = 16n² + m² = (4)² + (2)² = 16 + 4 = 20Triple: 12, 16, 20Check:(12)² + (16)² = (20)²144 + 256 = 400400 = 400Read more: Math Questions - Here is my math question. (Pythagorean triples immix up me!) The - JustAnswer http://www.justanswer.
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