Forces on Equilateral triangle truss

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tom676
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Hey Guys,

My question involves finding all of the forces acting upon each member. It is known that each side of the triangle has a length of l. It is also known that the force is acting at the very top of the triangle in the x direction (to the right) labelled as F.

Attempt:
I found moments at both supports (bottom left + bottom right) to be (½)F. I have found that AD = F and for some reason AB = 0?

Is this incorrect?
 
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Large equilateral triangle divided into four smaller triangles by joining the midpoints of its sides, with the bottom-left corner marked by a red arrow and the labels AB, AD and 1/2 F written in red.
 
How about showing the work you have done so we can see how you are thinking? That would help a lot.