2.8 Exercise 39

Derive the following equation for a convex mirror:

$\frac{1}{V O} - \frac{1}{V I} = − \frac{1}{V F}$,

where VO is the distance to the object O from vertex V, VI the distance to the image I from V, and VF is the distance to the focal point F from V. (Hint: use two sets of similar triangles.)