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.

## Answer this Question

## Related Questions

- geometry - in a triangle the middle length side is 3 more than the shortest side...
- Algebra 1 - The perimeter of a triangle is 20 inches. The longest side is 4 ...
- Math - One side of a triangular banner is 1 ½ times longer than the second side ...
- math - the perimeter of a triangle is 42 inches. three times the length of the ...
- pre- algebra - The perimeter of a triangle is 24 cm. One side is 2 cm longer ...
- algebra - The perimeter of a triangle is 57in. The longest side is 13in. longer ...
- math - The longest side of a triangle is six more units that the shortest side. ...
- algebra - a triangle has a perimeter of 126 centimeters, each of the 2 longer ...
- algebra - A triangle has a perimeter of 56 centimeters. Each of the two longer ...
- algebra - A triangle has a perimeter of 112 centimeters, each of the two longer ...