Question

Construct incircle of an equilateral triangle having side $5.4$ $cm$.

Answer 1

1. Draw a segment $BC$ of length $5.4cm$. Place the compass on $B$ and $C$ respectively and draw arcs of length $5.4cm$ from each.

2. Mark the intersection point as $A$. Join $B-A$ and $C-A$. $△ABC$ is the required equilateral triangle.

3. Construct angle bisectors of $\angle B$ and $\angle C$ and mark their intersection point as $O$.

4. Drop a perpendicular from $O$ to line $BC$. Place the compass on $O$ and with a radius as the length of the perpendicular from $O$, draw the incircle of $△ABC$.