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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

• math -

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.

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