Find the area of the triangle with vertices (1, 0, 0), (0, 2, 0), and (0, 0, 1). (hint: a triangle is half of a parallelogram. sketching a generic picture may you visualize before you start to compute.)

1.5 square units.

Step-by-step explanation:

In order to find the area we can construct a triangle by calculating the sides length using the distance equation:

between points (1,0,0) and (0,2,0) the distance is:

between points (1,0,0) and (0,0,1) the distance is:

between points (0,2,0) and (0,0,1) the distance is:

Because we have an isosceles triangle (two sides with equal length) then we can use the following formula for the area:

where 'b' is the unique side with different lenght, so:

In conclusion the are is 1.5 square units.

explanation:

step-by-step explanation: