The diagram shows a triangle $ABC$ with vertices $A(-5,\ 2)$ and $B(7,\ 8)$. The point $C$ l

Question

The diagram shows a triangle $ABC$ with vertices $A(-5,\ 2)$ and $B(7,\ 8)$. The point $C$ lies on the perpendicular bisector of $AB$ and the equation of the line $BC$ is $y=3x-13$. Find the equation of the perpendicular bisector of $AB$.[4] Find the coordinates of $C$.[2] Find the area of the triangle $ABC$.[2]

Accepted Answer

(a) $y=-2x+7$ (b) $C=(4,-1)$ (c) $45\text{ units}^2$

Perpendicular bisector and the third vertex of a triangle

Perpendicular bisector and the third vertex of a triangle

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