Question

Divide the line segment $PQ=11cm$ in $3$ equal parts.

Answer 1

Step 1: Draw a line segment $PQ$ of length $11cm$ using a ruler.

Step 2: Draw an acute $\angle CQP$ on one side of line $PQ$.

Step 3: Mark points $Q_1,Q_2,Q_3$ on ray $QC$ such that $Q{Q}_1=Q_1{Q}_2=Q_2{Q}_3$.

Step 4: Join $Q_3$ to $P$.

Step 5: Draw lines $Q_{1}S$ and $Q_{2}R$ parallel to $Q_{3}P$ and let them intersect $PQ$ in points $S$ and $R$ respectively.

Points $R$ and $S$ divide the segment $PQ$ in $3$ equal parts.