In triangle $\triangle ABC,$ we have that $AB = AC = 14$ and $BC = 26.$ What is the length of the shortest angle bisector in $ABC$? Express your answer in simplest radical form.
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In triangle $\triangle ABC,$ we have that $AB = AC = 14$ and $BC = 26.$ What is the length of the shortest angle bisector in $ABC$? Express your answer in simplest radical form.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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user
3\sqrt{3}
In triangle $\triangle ABC,$ we have that $AB = AC = 14$ and $BC = 26.$ What is the length of the shortest angle bisector in $ABC$? Express your answer in simplest radical form.
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