Task $5$:

The triangular plate ABC is deformed into the shape shown by the dashed lines. If at $L_{A{B}^{\text{'}}}=402mm,L_{A{C}^{\text{'}}}=304mm$ and $L_{B^{\text{'}}{C}^{\text{'}}}=502\mathrm{.}648mm,$ determine the average normal strain along edge $BC$ and the average shear strain at A with respect to the $x$ and $y$ axes.

Express your answer to three significant figures and include the appropriate units.

Average normal shear strain:

$q,(50\%)$ Average shear strain: $q,\mathrm{.}135$ rad $x(0\mathrm{.}00658$ radians$)$