# Right Isosceles

Geometry Level 4

Given an isosceles right triangle $$ABC$$, such that:

${AB=AC=1, \quad \angle BAC = \dfrac{\pi}2}$

Let $$D$$ be a point inside the triangle such that:

${\angle ADB = \dfrac{\pi}2, \quad \angle ABD = \angle BCD}$

Find the area of $$\triangle ABD$$.

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