The plane x/1+y/2+z/−1=1 meets the coordinate axes in the points A,B and C respectively then area of triangle ABC is

Question

The plane x/1+y/2+z/−1=1 meets the coordinate axes in the points A,B and C respectively then area of triangle ABC is
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Solution 1

To find the area of triangle ABC, we first need to determine the coordinates of points A, B, and C where the plane intersects the coordinate axes.

Let's start with point A. To find the x-coordinate of point A, we set y and z to 0 in the equation of the plane:

x/1 + 0/2 + 0/(-1) = 1 x/1 = 1 x = 1

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