Given: Right △ACB, CD ⟂ AB

Prove: (AC)(AC) = (AB)(AD)

Click or touch to draw on the diagram
(AC)(AC) = (AB)(AD)
Algebra
△ACB ~ △ADC
Definition of Similar Triangles
The altitude drawn to the hypotenuse of a right triangle creates three similar triangles.
Given
AC/AB = AD/AC
Right △ACB, CD ⟂ AB