Steps of construction:
Step 1: Draw a line segment AB of 11cm.
Step 2: Draw∠DAB = ∠Y = 30o and ∠FBA = ∠Z = 90o
Step 3: Draw the angle bisector of ∠DAB and ∠EBA which intersect each other at x
Step 4: Draw the perpendicular bisector XA and XB which intersect AB at Y and Z respectively.
Step 5: Join XY and XZ
Therefore ΔXYZ is the required triangle