Find the area of a triangle formed by (1, 0), (-1, 0), (0, 1).

Correct option is A

Given:

Vertices of the triangle are:

A(1, 0), B(-1, 0), C(0, 1)

Formula Used:
The area of a triangle with vertices $$(x_1, y_1), (x_2, y_2), (x_3, y_3)$$​ is:

Area = $$\frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right|$$​​

Solution:

Substitute the coordinates:

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

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

​$$= \frac{1}{2} \times |-2|$$​​

​$$= \frac{1}{2} \times 2$$​​

= 1