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प्रश्न
The area of the triangle formed by the points A(2,0) B(6,0) and C(4,6) is
विकल्प
24 sq. units
12 sq. units
10 sq. units
none of these
उत्तर
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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