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

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4

sq. units

8

sq. units

2

sq. units

1

sq. unit

answer is B.

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Detailed Solution

Given vertices are,

(0, 0), (2, 0)

and

(0, 2)

.
We need to find the area of the triangle.
Area of triangle having vertices

(x_{1}, y_{1}), (x_{2}, y_{2})

and

(x_{3}, y_{3})

is given by:

\Rightarrow

Area

= \frac{1}{2} \times [x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{1}) + x_{3} (y_{1} - y_{2})]

\Rightarrow

Area

= \frac{1}{2} \times [0 (0 - 0) + 2 (2 - 0) + 0 (0 - 0)

\Rightarrow

Area=2 sq. units
Thus, the area of the triangle is 2 sq. units.
Therefore, option (2) is correct.
[1]1. Formula was not mentioned in many questions.
2. Concluding statement also.
3. Write formula s mentioned by me in Question 52 comments.
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