Posted by Solta on .
A right triangle is formed in the first quadrant by the x and yaxes and a line through the point (3,2). write the length L of hypotenuse as a function of x.

Math 
Reiny,
Let the xintercept of the line be (x,0)
let the yintercept of the line be (0,y)
we have similar triangles, and by ratios ...
y/x = 3/(x2)
xy  2y = 3x
y(x2) = 3x
y = 3x/(x2)
L^2 = x^2 + y^2
= x^2 + [3x/(x2)]^2
= x^2 + 9x^2/(x^2  4x + 4)