Euclidea 2.7

Euclidea 2.7: Erect a Perpendicular
Given a line $$ \overline{\rm AB} $$ and a point $${\rm C} $$, create a line perpendicular to $$ \overline{\rm AB} $$ that intersects point $${\rm C} $$

Goal: 1L, 3E 

Solution 1L
A very simple solution since there's only one line:


 * 1) Draw the angle bisector of angle $$ \angle{\rm ACB} $$ to finish.