We know that ∠ EAC is congruent to ∠ ECA. This means that both angles have the same measure. Let's use the given information to mark the congruent angles of the given figure.
If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
Using this theorem, we can identify the congruent sides.
Therefore, EA is congruent to EC.
EA≅ EC
Extra
Isosceles Triangle
An isosceles triangle is a triangle that has two congruent sides called legs. The angle between these two sides is called the vertex angle and its opposite side is called the base. The angles formed by the legs and the base are called base angles. Base angles are congruent.
