math
posted by sarah .
A right triangle is formed in the first quadrant by the x and yaxes and a line through the point (2,3). Draw a figure that illustrates the problem.
What is the area of the triangle A as a function of the xintercept of the line?

If the xintercept is at x=h, then we must have h>2 to fit the conditions.
Now we have two points, and our line is
(y3)/(x2) = (03)/(h2)
y = 3/(2h) * (x2)
at x=0, y = 6/(h2)
the area is thus 1/2 xy = 1/2 h(6/(h2)) = 3h/(h2)