Posted by **ed** on Monday, May 6, 2013 at 5:44pm.

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 -
**Reiny**, Monday, May 6, 2013 at 6:59pm
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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