A right triangle is formed in the first quadrant by the x and y axes
and a line through the point (1,2).
a) Write the length L of the hypotenuse as a function of x.
Code:| (0,b)* | * | * (1,2) | o | * | * - - + - - - - - * - - | (a,0)
The line with intercepts 0,b)" alt="(a,0),\0,b)" /> has the equation: .
Since is on this line: .
The length of the hypotenuse is given by: .
Substitute  into : .