Coordinates of Vertices of a Right-Angled Triangle

Coordinates of Vertices of a Right-Angled Triangle

The vertices of \(\Delta ABC\) are \(A\left( 0,-5 \right)\), \(B\left( -2,1 \right)\) and \(C\left( 10,k \right)\). Find the value of \(k\) if \(\angle ABC=90{}^\circ \).

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Answer:\(k=5\)

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