# Pythagorean Quadratic Essay

MAT 221: Introduction to Algebra Pythagorean Quadratic

The Pythagorean Theorem was termed after Pythagoras, who was a well-known Greek philosopher and mathematician, and the Pythagorean Theorem is one of the first theorems identified in ancient civilizations. “The Pythagorean theorem says that in any right triangle the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse” (Dugopolski, 2012, p. 366 para. 8). For this reason, many builders from various times throughout history have used this theorem to assure that their foundations were laid out with right angles. In this assignment, we will use the example of locating a treasure using two different treasure

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1 -20 1 + (-20) = -19 -1 20 -1 + 20 =21

2 -10 2 + (-10) = -8

-2 10 -2 + 10 = 8

(x-10)(x+2)=0 Now, we solve each binomial using the zero factor x - 10 = 0 or x + 2 = 0 property in order to create a compound equation. x = 10 or x = -2 Answer to the equation.

The issue now is that one of the answers is extraneous, because it does not satisfy this specific scenario. The reason for this is that logically we would not take negative steps to reach a certain point or in a geometric situation, we cannot move a negative distance (Dugopolski, 2012). This means that -2 will not work for this equation, so the only answer we are left with is x = 10 paces.

In summary, Vanessa’s portion of the map tells us that the treasure is located 10 paces north and 2x + 4 = 2(10) + 4= 24 paces east of Castle Rock. While Ahmed’s map tells us to take 2x + 6 = 2(10) + 6= 26 paces heading directly towards the rock. The Pythagorean Theorem is a very useful tool when we have a right-angled triangle and know the lengths of at least two sides, because it enables us to determine the length of the third side. On television, many of us have seen how important determining the trajectory of a bullet is to a crime scene, so it would be extremely critical to understand this theorem if your career was as a crime scene investigators. Another career that uses this theorem is an architect who would