Question

Construct a triangle similar to $△ABC$ in which $AB=4.6cm,BC=5.1cm,$ $\left(\angle A\right)={60}^o$ with scale factor $4:5$.

Answer 1

Draw a line segment $AB$ of $4.6cm$

At $B$ draw an angle of ${60}^{\circ }$

With center $B$ and radius $5.1cm$ draw an arch which intersect line of angle at $C$.

Join $BC$.

At $A$ draw an angle $BAX$ of any measure.

Starting from $A$ cuts five equal parts on $AX$.

Join $X_{5}A$

Through $X_4$, Draw $X_{4}Q\parallel X_{5}B$.

Through $Q$, draw $AP\parallel BC$

Therefore,

$\Delta PAQ\sim \Delta CAB$