the magnification caused by a convex lens is represented by Hi/Ho, where hi is the height of the image and ho is the height of the object. Using that ratio, show that the magnification caused by a convex lens is equal to di/do(ratio of the image distance to the object distance.

Answer 1

From similar triangles:
Hi/di =Ho/do
=> Hi/Ho=di/do =M

Answer 2

fairly simple
M=hi/ho
also M=-di/do

therefore

M=hi/ho
-di/do=hi/ho
hi/ho=hi/ho

Answer 3

error:
fairly simple
M=hi/ho
also M=-di/do

therefore

M=hi/ho
-di/do=hi/ho
hi/ho=-di/do