Question

Construct incircle of $△DEF$ in which DE = EF = 5.8 cm and $\angle DEF={65}^o$.

Answer 1

1. Draw the line $EF$ of $5.8cm$

2. We have to construct ${65}^o$ at $E$. Take $2cm$ on the compass, cut the arc $X{X}^{\prime }$. With same measure, cut $X_1$ at $EF$. Take $6cm$ on the compass now cut arc at $X$ and $X_1$. We get point $y$. Join $Ey$. Mark $5.8$ on that. Join $ED$ and $DF$. We get the required $△DEF$