The coordinates of triangle $ABC$ are $A(-3,-1)$, $B(5,1)$ and $C(2,4)$. Show that triangle

Question

The coordinates of triangle $ABC$ are $A(-3,-1)$, $B(5,1)$ and $C(2,4)$. Show that triangle $ABC$ is a right-angled triangle. Calculate the area of triangle $ABC$. Hence, find the length of perpendicular from $C$ to $AB$.

Accepted Answer

(i) Right-angled at $C$ (ii) $15$ square units (iii) $\dfrac{15\sqrt{17}}{17}$ units, approximately $3.64$ units.

Vectors - Distance from a Point to a Line

Vectors - Distance from a Point to a Line

Solution:

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