math
posted by ed .
a musical triangle has a perimeter of 180 mm. the side of middle length is 2 times as long as the shortest side. the longest side is 3 times as long as the middle side. how long is each side

shortest side  x
middle side 2x
longest side  3(2x) = 6x
x + 2x + 6x = 180
9x=180
x=20
shortest = 20
middle = 40
longest = 120
BTW, no such triangle is possible, even though a mathematical solution exists.