In an isosceles triangle, the altitudes intersect on the incircle.  Compute the cosine of the vertex angle.
Question:
In an isosceles triangle, the altitudes intersect on the incircle.  Compute the cosine of the vertex angle.
Answer:
Let's think step by step.

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\frac{1}{9}
In an isosceles triangle, the altitudes intersect on the incircle.  Compute the cosine of the vertex angle.
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