Chris is decorating a rectangular ballroom ceiling with decorative lights. Beginning in a corner, Chris strings the lights along the length of the ceiling, a distance of 55 feet. Next, Chris strings the lights along the width of the ceiling, a distance of 48 feet. Then Chris strings the lights straight back to the original corner. At this point, Chris has used ___ feet of lights.
Chris has strung a right triangle of lights with legs 48 and 55
the diagonal is fond with Pythag theorem
d = sqrt (48^2 + 55^2) = 73 ft
48 + 55 + 73 = 176 ft total
Chris is decorating a rectangular ballroom ceiling with decorative lights. Beginning in a corner, Chris strings the lights along the length of the ceiling, a distance of 55 feet. Next, Chris strings the lights along the width of the ceiling, a distance of 48 feet. Then Chris strings the lights straight back to the original corner. At this point, Chris has used ___ feet of lights.
Chris has made a right triangle, so the diagonal is sqrt(552 + 482)
diagonal = sqrt(3025 + 2304) = 73
So Chris has used 55 + 48 + 73 feet of lights = 176 feet
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