The angle θ between the +x axis and diagonal AC is:
tanθ=2040
∴θ=26.565∘
The normal strain along diagonal AC is computed from:
εAC=εx cos2 θ + εy sin2 θ + γxy sinθcosθ =(-700μ) cos2 (26.565∘) + (-500μ) sin2 (26.565∘) + (900μ) sin(26.565∘) cos(26.565∘) = -299.94 μm/m