42. Exemplar Exercise Problem XIX

Find the coordinates of the point $Q$ on the x–axis which lies on the perpendicular bisector of the line segment joining the points $A (–5, –2)$ and $B(4, –2)$. Name the type of triangle formed by the points Q, A and B.

 

 

The coordinate of $Q$ is a $\left(\begin{array}{ll}\frac{i}{i}& \begin{array}{ll},& i\end{array}\end{array}\right)$.

 

The vertices of a triangle $ABQ$ form right angle triangleequilateral trianglescalene triangleisosceles triangle