Question

Find the area of the triangle formed by the point $(0,0)(4,0)(0,3)$.

Answer 1

As we can see in the diagram the triangle formed is a right-angled triangle.

$\therefore$ Area of a right-angled triangle = $\frac{1}{2}\times base\times height$

Also, Area of the right-angled triangle formed by the points $(0,0),(x,0),(0,y)=\frac{1}{2}|xy|$sq.units

$\Rightarrow$ Area of the right-angled triangle formed by the points $(0,0),(4,0),(0,3)=\frac{1}{2}|4\times 3|$sq.units

$=\frac{1}{2}\times \left(12\right)$

$=6$ sq.units