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Q: Other than those listed in the text, how might the Pythagorean theorem be used in everyday life? Provide examples of each.
A: "The Pythagorean theorem is used any time we have a right triangle, we know the length of two sides, and we want to find the third side. [ For example: I was in the furniture store the other day and saw a nice entertainment center on sale at a good price. The space for the TV set measured 17" x 21". I didn't want to take the time to go home to measure my TV set, or get the cabinet home only to
find that it was too small. I knew my TV set had a 27" screen, and TV screens are measured on the diagonal. To figure out whether my TV would fit, I calculated the diagonal of the TV space in the entertainment center using the Pythagorean theorem: 172 + 212 = 289 + 441 = 730 So the diagonal of the entertainment center is the square root of 730, which is about 27.02". Sounds like my TV should fit, but the 27" diagonal on the TV set measures the screen only, not the housing, speakers and control buttons. These extend the TV set's diagonal several inches, so I figured that my TV would not fit in the cabinet. When I got home, I measured my TV set and found that the entire set was 21" x 27.5", so it was a good decision not to buy the entertainment center. The Pythagorean theorem is also frequently used in more advanced math. The applications that use the Pythagorean theorem include computing the distance between points on a plane; converting between polar and rectangular coordinates; computing perimeters, surface areas and volumes of various geometric shapes; and calculating maxima and minima of perimeters, or surface areas and volumes of various geometric shapes. One of the most common applications of the Pythagorean theorem is in the distance formula. To find the distance between between two points, the distance formula states: d=square root of triangle x to the second power+ triangle y to the second power The in the formula stands for "difference between," so x = x2 - x1 and y = y2 - y1." ]
Expert answered|aLorin|Points 70|
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Asked 3/26/2013 7:51:13 PM
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