2025 CGSS PRELIMS P1 Q20

There are 3 statues located at points \(A\), \(B\) and \(C\) respectively. The diagram in the space below shows the positions of points \(A\) and \(B\).

1. It is given that \(AC\) is \(8\text{ km}\) and \(BC\) is \(10\text{ km}\). Using appropriate constructions, find and label the position of point \(C\).[1]
2. There is a treasure chest buried in a location that is equidistant from \(A\), \(B\) and \(C\). Find and label this point \(X\) in the diagram above.[2]