What is the photography theorem?

In a right triangle, if the projections of two right-angled sides on the hypotenuse are 2CM and 8CM respectively, then the two right-angled sides are 4 root numbers 5 and 2 root numbers 5 respectively, and the height on the hypotenuse is 4 (using theorem 1, 4).

The ratio of two right-angled sides of a right triangle is 1: 2, so their projection ratio on the hypotenuse is 1: 4 (using Theorems 2, 3 and 4).

Note: the picture can't be uploaded, I hope everyone can understand.

Let the triangle be ABC (angle C is right angle, AB is hypotenuse, and CD is perpendicular to AB).

Theorem is

1 squared. CD equals AD times DB.

2.2 squared. AC equals AD times AB.

3.3 squared. CB equals DB times AB.

4. AC photography on AB is AD, and BC photography on AB is BD.