Review question

# A line cuts the axes to make a triangle; can we find its area? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6803

## Question

Three points have coordinates $A(-2, -1)$, $B(6, 9)$ and $C(2, -3)$. The line through the midpoint of $AB$ parallel to $AC$ meets the $x$-axis at $X$ and the $y$-axis at $Y$. Calculate the coordinates of $X$ and $Y$. Hence deduce the area of $\triangle XOY$, where $O$ is the origin.