Bisector (isosceles triangle)
[code]LocusEquation[a==b,C][/code] determines where to put [i]C[/i] in order to the sides [i]a[/i] and [i]b[/i] are equal. With no doubt [i]C[/i] must take place on the bisector of [i]AB[/i]. In such cases the triangle will be isosceles.
Information: Bisector (isosceles triangle)