In the construction of the incenter why is step 5 necessary for drawing the inscribed circle?

Step 5 in the construction of the incenter is crucial because it ensures that the inscribed circle is tangent to all three sides of the triangle. By locating the incenter, which is the intersection of the angle bisectors, we establish the center of the circle that will be equidistant from each side. This step verifies the proper positioning of the circle, ensuring it fits perfectly within the triangle. Without this step, the circle may not be correctly centered, leading to inaccuracies in its dimensions relative to the triangle's sides.