Finding Segment Length in a Right Triangle Configuration

9)

Given the diagram where $AB \perp BD$ and $ED \perp BD$.

$|AB| = 9$, $|ED| = 4$.

$|AC| = |EC|$ (indicated by symbols on hypotenuses).

Find $|BC| = ?$

This question includes visual content: The image shows a geometric diagram with two right-angled triangles sharing a common baseline. On the left is triangle ABC with a right angle at vertex B; the length of segment AB is 9. On the right is triangle EDC with a right angle at vertex D; the length of segment ED is 4. Points B, C, and D are collinear on a horizontal line. The hypotenuses AC and EC are marked with double-line symbols, indicating they are equal in length ($|AC| = |EC|$). There is a semicircle notation at vertex C, implying that points B, C, and D form a straight line and angle ACE is part of a linear configuration or potentially 90 degrees based on typical geometry problems of this type. The text asks for the length of segment BC.