Question
Plot the points $A(2, 5), B(-2, 2)$ and $C(4, 2)$ on a graph paper. Join $AB, BC$ and $AC$. Calculate the area of $\triangle\text{ABC}.$
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Answer
The given points are plotted on the graph paper as follows:
Draw $\text{AM}\perp\text{BC}.$
Area of $\triangle\text{ABC}=\frac{1}{2}\times\text{Base}\times\text{Height}$
$=\frac{1}{2}\times\text{BC}\times\text{AM}$
$=\frac{1}{2}\times6\times3$ $= 9$ square units.
Draw $\text{AM}\perp\text{BC}.$
Area of $\triangle\text{ABC}=\frac{1}{2}\times\text{Base}\times\text{Height}$
$=\frac{1}{2}\times\text{BC}\times\text{AM}$
$=\frac{1}{2}\times6\times3$ $= 9$ square units.
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