Triangle \( A B C \) with \( A B=13, B C=5 \), and \( A C=12 \mathrm{~s} \) ides on the coordina... VIDEO
Triangle \( A B C \) with \( A B=13, B C=5 \), and \( A C=12 \mathrm{~s} \) ides on the coordinates axes with \( A \) and \( B \) on the positive \( x \)-axis and positive \( y \)-axis respectively. The locus of vertex \( c \) is a line \( 12 x-k y=0 \). Then the value of \( k \) is
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\[
\begin{array}{l}
L_{1}=x+3 y-5=0 \\
L_{2}=3 x-k y-1=0 \\
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