Triangle Geometry

Geometry Level 2

As shown in the diagram above, \(\overline { AB } =8\) and \(\overline { AC } =15\). Also \(\angle BAC=90^o\) and \(\angle BCD=90^o\). If \(y={ 53.1 }^{ o }\) and \(\overline {DC} = 4\), what is the area (to the nearest unit) of the blue shaded triangles?

Diagram is not drawn to scale.

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