**Steps of construction:**

Step 1: Draw a line segment XY of 10cm.

Step 2: Draw ∠DXY = ∠B = 90^{o} and ∠FYX = ∠C =60^{o}

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