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.
Respond to this Question
Similar Questions

geometry
in a triangle the middle length side is 3 more than the shortest side, and the longest side is double the middle lenght side the perimeter of the triangle is 45cm find the lenghts of the side 
algebra
the perimeter of a triangle is 205. one side is 10 longer than the shortest side. the third side is 5 less than twice the shortest side.how long is each side 
Algebra 1
The perimeter of a triangle is 20 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three fourths the length of the middle side. Find the length of each side of the triangle 
pre algebra
The perimeter of a triangle is 24 cm. One side is 2 cm longer than the shortest side. The longest side is 2 cm less than twice the length of the shortest side. Find the length of each side of the triangle. write equation and solve. 
Math
One side of a triangular banner is 1 ½ times longer than the second side and 2 cm shorter than the third side. The perimeter of the triangle is 98 cm. How long is the shortest side? 
Geometry
In a triangle with integer side lengths, one side is three times as long as a second side, and the length of the third side is 15. What is the greatest possible perimeter of the triangle? 
Algebra  Math
The medium side of a triangle is 9 more than 1/2 the shortest side,and the longest side is 4 times the shortest side. If the perimeter is 31 in. Find the lengths of the sides of the triangle 
Algebra
The longest side is 2 inches longer than the middle side. The shortest side is 14 inches shorter than the middle side. If the perimeter of the piece is 60 inches, what is the length of each side? 
Math
The perimeter of a triangle is 43 feet.The small side is three was in the middle side, and the largest size to less than twice the middle side. What is the length of the longest side? 
algebra
Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long. What expression could she write to …