A triangle with two congruent sides is isosceles. A triangle with an angle of 104 degrees is obtuse. So you would have an obtuse isosceles triangle.
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the triangle is called right handed triangle
If two sides and the included angle of one of one of the triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
angle SKL = angle CGFangle KLS = angle GFCangle LSK = angle FCGSK = CFKL = FGSL = CG.
It means that if two triangles have two sides with the lengths of the corresponding sides that are equal (congruent) and the angles between between the two sides congruent, then the triangles are congruent (i.e., the three corresponding lengths of sides and three corresponding angles are all congruent). For example, if you know that triangle one has sides of length 1 and 2 and the angle between the two sides is 60 degrees and that triangle two has sides of length 1 and 2 and the angle between the two sides is 60 degrees, this theorem says that the triangles are congruent, so the length of third side of both triangles is the same and the measure of the other two angles in triangle one is the ame as the measure of the other two angles in triangle two.
Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.