ত্রিভুজের ক্ষেত্রফল

Plot $(3, 0), (5, 0)$ and $(0, 4)$ on cartesian plane. Name the figure formed by joining these points and find its area.

হানি নাটস

The figure is a triangle.

We know that the area of the triangle whose vertices are $\displaystyle (x_{1},y_{1}),(x_{2},y_{2}),$ and $(x_{3},y_{3})$ is $\cfrac{1}{2}\left | x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1}) +x_{3}(y_{1}-y_{2})\right |$

Therefore,
Area $= \dfrac{1}{2} [3(0-4)+5(4-0)+0] = 4$ square units.

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