# B e cae dcfe af ea dec eab

All three angles of a scalene triangle are different. The distance from any bisector point to one adjacent side is the same as the distance to the other. The case of the height lying outside ABC is proved similarly to this one.

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It is also the center of the circumcircle because the medians are perpendicular to the respective sides. Therefore, AEB is an isosceles triangle: The difference between the lengths of any two sides of a triangle is less than the length of the third side. The Side-Angle-Side Triangle Congruence Theorem If two triangles have two sides equal, respectively, and the angles between the two sides are equal too, then the triangles are congruent.

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