Sol:

**Steps of construction:**

Step 1: Draw a line segment BC of 3.5cm.

Step 2: At B, draw an angle XBC of 45^{o}

Step 3: With center B and radius 1.5cm, draw an arc which intersects BX at D.

Step 4: Join DC

Step 5: Draw the perpendicular bisector of DC which intersects BD produced at A.

Step 6: Join AC

Therefore Δ ABC is the required triangle