Respuesta :
12 Units
Step-by-step explanation:
Step 1 :
Two triangles are said to be congruent if two sides of the triangles and the included angles are equal.
Step 2 :
Given CE = 12 Units and BE = 5 units.
Line l is a perpendicular bisector of the line segment AC . So we have AB = BC. (Given that line segments AB and BC are equal.
In triangle ABE, ∠ B is 90° [ Given that line l is perpendicular bisector of AC and B is the point of intersection]
In triangle CBE, ∠ B is 90° [ Given that line l is perpendicular bisector of AC and B is the point of intersection]
Step 3:
Triangles ABE and CBE are congruent. [ As we have side AB = BC, side BE is common to both triangles and the included angle ABE and CBE of both the triangles are equal]
So as per the SAS [side angle Side] property of congruency of triangles, the triangles are equal.
This implies the 3rd side , AE is equal to CE.
Hence AE = CE = 12 units.
