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What similarity can you write relating the three triangles in the diagram ?

What similarity can you write relating the three triangles in the diagram ?-example-1

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SOLUTION


\begin{gathered} \angle LJK\cong\angle KJN \\ \angle LKJ\cong\angle KNJ \end{gathered}

Therefore,


\begin{gathered} \Delta LJK\text{ \textasciitilde}\Delta KJN\text{ \lparen AA\rparen} \\ \angle KLN\cong\angle JLK \\ \angle KNL\cong\angle LKJ \\ \Rightarrow\Delta LJK\text{ \textasciitilde }\Delta LKN\text{ \lparen AA\rparen} \end{gathered}

Hence, the answer is


\Delta LJK\text{ \textasciitilde }\Delta KJN\text{ \textasciitilde }\Delta LKN

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