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 \(\triangle ABD\).
by
Satyajit Mohanty