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 $\triangle\text{ABC}.$
✓
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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