*8. Let f : [0, 1] ~ R be increasing and continuously differentiable on [0,1] and let T be the right triangle whose vertices are (0, f(O)), (1, f(O)), and (1, f(l)).

If c represents the hypotenuse of T, a and b represent the legs of T, and L represents the arc length of the explicit curve y = f(x), x E [0,1]' prove that c:::; L:::; a+ b.