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Homework Statement
I have this arrow head geometry question (Please see diagram). I know L1, L2 and L3, angle B and the constant k (notice how the corner angle is equal to k * t2). I don't know t1 and t2. I'm pretty sure I have enough constraints, I'm just having trouble finding the right ones to use. Note that the arrow head is not symmetric so the top edge length is not equal to L3.
Homework Equations
Knowns:
L1
L2
L3
B
k
unknowns:
t1
t2
The Attempt at a Solution
The sum of the interior angles gives me one equation:
360 = t1 + t2+ 180  t2 + t2 + k*t2 + B
B = 180  t1  t2  kt2
Now I tried using the lengths and forming some equations using the cosine rule. I split the arrow head down the middle (gaining a length Lm), so I have
Lm^2 = L1^2 + L3^2  2*L1*L3*cos(t1)
but then I don't have the top edge as I mentioned, so I can't really equate this to anything.
I'm kind of stumped, any help would be appreciated!
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