algebra:Pythagorean Quadratic

May 29th, 2015
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The Pythagorean Theorem says that in every right triangle with legs of length a and b and hypotenuse c, these lengths have the relationship of a2+ b2= c2. So let a = x, b = 2x + 4, and c = 2x + 6. Now substitute the binomial measurements

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Pythagorean QuadraticRoshonda YoungMAT221: Introduction to AlgebraDr.: Bridget GuenthnerJanuary 19, 2013Pythagorean Quadratic In the text Elementary and Intermediate Algebra problem 98 on page 371 states Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can find x and save alot of time digging. What is x ( Dugopolski, 2012) ? When referring to the problem 98 in the text it does not specify which direction 2x + 6 paces are going. So most likely Amanda paces should end up in the same destination. This problem written on paper right triangle is formed with 2x + 6being the length of the hypotenuse, and x and 2x + 4 being the legs of the triangle. When a right triangle is involved, the Pythagorean Theorem helps solve for x. The Pythagorean Theorem says that in every right triangle with legs of lengtha and b and hypotenuse c, these lengths have the relationship of a2+ b2= c2. So let a = x, b = 2x + 4, and c = 2x + 6. Now substitute the binomial measurements into the Pythagorean Theorem and the equation will look like this: x2 + (2x +4)2 = (2x +6)2Above is the given expression with binomials plugged into the Pythagorean Theorem.x2 + 4x2 +8x +8x + 16 = 4

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