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