# Triangle Drawn to a Circle

Geometry Level 2

Given circle $$\Gamma$$, point $$A$$ is chosen outside of $$\Gamma$$. Tangents $$AB$$ and $$AC$$ to $$\Gamma$$ are drawn. $$K$$ is a point on the circumference of $$\Gamma$$ contained within $$ABC$$. $$D$$ is a point on $$AB$$ and $$E$$ is a point on $$AC$$ such that $$DKE$$ is a straight line and tangent to $$\Gamma$$. If $$AB = 19$$, what is the perimeter of triangle $$ADE$$?

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