I would use graph paper.
notice 135° = 90+45 ° , so a 45° is easy to draw on a grid, simply use the diagonal
of a large square on your grid.
then measure 4 cm and 8 cm on the arms of the angle and join their end points.
Measure the missing side
Construct triangle XYZ in which|YZ|=4cm, angle YZY=135°and |XZ|=8cm. measure|XY|.
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Yes I want you to show me how to construct a triangle
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