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The points \(A (2, 9)\), \(B (a, 5)\) and \(C (5, 5)\) are the vertices of a triangle \(ABC\) right angled at \(B\). Find the values of \(a\) and hence the area of triangle \(ABC\).
  
Answer:   
 
The value of a is .
 
The area of the triangle ABC is   \(sq\ units\).