Question

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

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

Answer 1

The correct option is B $2$ sq. units

Given: $A=(x_1,y_1)=(0,0)$

$B=(x_2,y_2)=(2,0)$ and

$C=(x_3,y_3)=(0,2)$

Area of triangle $=\frac{1}{2}\left[x_1\right(y_2-y_3)+x_2(y_3-y_1)++x_3(y_1-y_2\left)\right]$

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

$=\frac{1}{2}\left[2\right(2\left)\right]$

$=2$ sq. units.