construct a triangle ABC such that AB=BC=6cm and median AD=4cm

**Step 1:**

Draw a rough sketch and mark the given measurements.

**Step 2:**

Draw BC = 6cm.

**Step 3:**

Bisect BC at D.

**Step 4:**

With B as centre and radius equal to 6cm, draw an arc x of a circle. With D as centre and radius equal to 4cm, draw an arc y to intersect the arc x at A.

**Step 5:**

Join AB and AC.

ABC is the required triangle.

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