(a(i))[6]
Prove that triangle $ABC$ is isosceles and determine the exact area of the triangle.
(a(ii))[6]
Point $D$ lies on $AB$ in such a way that $CD$ is perpendicular to $AB$. Find the $x$-coordinate of $D$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The vertices of triangle $ABC$ are $A(-2, -1)$, $B(4, 6)$ and $C(6, -3)$.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Demonstrate that $AB=BC=\sqrt{85}$, so the triangle is isosceles.” …
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