Tension of rope attached to basket

[mathsnewbie]

Homework Statement

Two lengths of rope, one 30cm long and the other 40cm long, are attached to a
ceiling at a distance of 50cm apart. The other ends of the rope are joined together
and attached to a basket weighing 2kg which hangs freely. Determine the tension in
each rope. (The acceleration due to gravity should be taken as g = 9.8m/s2.)

So it makes a triangular shape. The question needs to be done as an application of a vector but I was sick on the day it was covered in the lecture and never got to make up for it so I am not really sure were to go.

Homework Equations

The Attempt at a Solution

 

[Mathgician]

this is a static problem. There is no acceleration. so the sum of Force in the Y and in the X direction should cancel eacher other out and equal zero. Go from there. What are the vectorial components of force? How can you relate that to your total net force?

 

[Mathgician]

Another important question, how do you find the height on this type of triangle. I think you should be able to figure it out.