Question

Area of the triangle formed by the points $(0,0),(2,0)$ and $(0,2)$ is

• A. $1$ sq.units
• B. $2$ sq.units
• C. $4$ sq.units
• D. $8$ sq.units

Answer 1

Answer: (B)

$2$ sq.units

Area of triangle having vertices $(x_1,y_1),(x_2,y_2)$ and $(x_3,y_3)$ is given by
Area $=\frac{1}{2}\times \left[x_1\right(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2\left)\right]$

Therefore,

$=\frac{1}{2}\left|0\right(0-2)+2(2-0)+0(0-0\left)\right|$

$=\frac{1}{2}|0+4+0|$

$=\frac{1}{2}\times 4=2sq.units$

Hence, this is the answer.