construct a triangle abc in which ab = 5 cm angle b = 60 altitude cd = 3cm

Follow the given steps to construct the ∆ABC.

Step 1: Draw the line segment, AB = 5 cm.

Step 2: Draw ∠ABX = 60° and ∠ABY = 90° at B.

Step 3: With B as centre and radius 3 cm, mark an arc intersecting the ray BY in Z.

Step 4: Draw a line passing through Z and parallel to AB. Let it intersect the ray BX in C.

Step 5: Through C, draw an altitude to AB intersecting in D. Here, CD = BF = 3 cm.

Step 6: Join AC. 

Thus,  ∆ABC is the required triangle.