Answer:
See basic equations.
Step-by-step explanation:
Let x = the shortest side
Let 2x = the longest side.
Let y = the medium sized side.
Basic Equation
y + x + 2x = 14.5
or
y + 3x = 14.5
Comment
This almost looks like it needs more information because you are not entirely certain what you are looking for. You have not asked for a complete solution. About all you can do is solve for x and y and see if you really do have a triangle.
y + x + 2x + 14.5
2x = 6.2 Given. Divide by 2
x = 6.2/2 = 3.1
x + 2x + y = 14.5 Substitute values
3.1 + 6.2 + y = 14.5 Combine like terms
9.3 + y = 14.6 Subtract 9.3 from both sides
y = 14.6 - 9.3 Combine
y = 5.3
Yes you do have a triangle. any 2 sides is larger than the 3rd.
I don't know what to put as the answer however.