Question

If K is the midpoint of HJ, HK= x + 6, and HJ = 4x - 6, then KJ equals

Answer 1

Consider the figure,

We have,

$\begin{gathered} HK=x+6 \\ \text{HJ}=4x-6 \end{gathered}$

As we can understand from the figure that,

HJ=HK+KJ and HK=KJ

$\begin{gathered} HJ=HK+KJ \\ 4x-6=x+6+KJ \\ 4x-6-x-6=KJ \\ 3x-12=KJ \\ 3x-12=x+6 \\ x=9 \\ \therefore KJ=3\times9-12=15 \end{gathered}$

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