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Question
The area of the triangle formed by the points A(2,0) B(6,0) and C(4,6) is
Options
24 sq. units
12 sq. units
10 sq. units
none of these
Solution
Given that points A(2,0), B(6,0) and C(4 ,6) form a triangle which is shown in the figure. We are asked to find the area of the triangle ΔABC.
Given that
OA = 2
and OB = 6
Hence
\[\text { AB = OB - OA}\]
\[ = 6 - 2\]
\[ = 4\]
CD = 6
By using formula,
\[∆\text { ABC }= \frac{1}{2} \times \text { AB} \times \text{CD}\]
\[ = \frac{1}{2} \times 4 \times 6\]
\[ = 12 \text { sq units} \]
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