Prove that a triangle that has two congruent angles is isosceles I'm having some trouble with the following problem:

Prove that a triangle that has two congruent angles is isosceles

I tried to prove this by separating it into two triangles and use the ASA or the SAS postulate. However, I am stuck. I need some help. Thank you!
 A: Hint:  Bisect the angle  that is different.  The two halves are congruent.
A: We can do it without drawing any line. 
Let our triangle be $ABC$, with $\angle B=\angle C$. 
By ASA, $\triangle ABC$ and $\triangle ACB$ are congruent. 
A: Edit: My original answer was incorrect.  Here is the correct version as given by Marc van Leeuwen in a comment:
There is no need to bisect angles.  Let triangle $\triangle ABC$ have $\angle A=\angle B$.  Since $\angle A=\angle B$, $\overline{AB}=\overline{BA}$, and $\angle B=\angle A$, then $\triangle CAB$ is similar to $\triangle CBA$.  Thus, $\overline{BC}=\overline{AC}$.
A: Hint: Draw a perpendicular bisector through the third side, the one that is not congruent to another, then show the two triangles formed are congruent. 
Use ASA using the fact that a perpendicular bisector is a median. It then follows that the two other sides are congruent because they are corresponding parts of congruent triangles.
A: Say the triangle is $\Delta ABC$. Let the congruent angles be $\angle B,\angle C$. Then, we have to show that $\overline{AB}\cong\overline{AC}$. To do this, connect the angle bisector of $\angle A$ with point $A$ to get $\overline{DA}$ ($D$ is where the angle bisector intersects $\overline{BC}$). Then, $\overline{DA}\cong \overline{DA}$, and $\angle B\cong\angle C$. So, $\angle BAD=\angle CAD$. By the AAS postulate, $\Delta ACD\cong\Delta ABD$. Since corresponding sides of congruent triangles are congruent, $\overline{AC}\cong\overline{AB}$. Q.E.D.
I apologize for not being able to draw the diagram.
A: If you bisect the vertex angle, you find that you have created two congruent triangles. The triangles are congruent because of AAS congruence.  Because of CPCTC, the sides are congruent as well. It is hard to describe. See this image: 

