Question

Draw the circumcircle of $\Delta PMT$ in which $PM=5.4cm$, $\angle P={60}^o$, $\angle M={70}^o$.

Answer 1

1. Construct a base $PM$ of length $5.4cm$. Draw angles of ${60}^{\circ }$ and ${70}^{\circ }$ from points $P$ and $M$ respectively and mark their intersection point as $T$.

2. Join $P-T$ and $M-T$. $△PMT$ is the required triangle.

3. Draw perpendicular bisector of $PM$ and $MT$. Let them intersect at $O$

4. With centre as $O$ and radius as $OM$, draw the circumcircle of $△PMT$.