Steps of construction:
Step 1: Draw a line segment XY of 10cm.
Step 2: Draw ∠DXY = ∠B = 90o and ∠FYX = ∠C =60o
Step 3: Draw the angle bisectors of ∠DXY and∠EYX which intersects each other at A.
Step 4: Draw the perpendicular of AX and AY which intersect XY at B and C respectively.
Step 5: Join AB and AC
Therefore ΔABC is the required triangle