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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
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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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