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

Answer 1

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,

\[∆\text { ABC }= \frac{1}{2} \times \text { AB} \times \text{CD}\]

\[ = \frac{1}{2} \times 4 \times 6\]

\[ = 12 \text { sq units} \]