Answer:
The two triangles are "not similar"
![\begin{gathered} (LN)/(QS)=(6)/(7) \\ (LM)/(QR)=(5)/(6) \\ (MN)/(RS)=(3)/(4) \\ so; \\ (LN)/(QS)\\e(LM)/(QR)\\e(MN)/(RS) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/2rzf2k7n8f20vzrz3kkelig8v6is92xea8.png)
Step-by-step explanation:
We want to confirm if the given triangles are similar.
For them to be similar, the ratio of their corresponding sides must be equal.
![(LN)/(QS)=(LM)/(QR)=(MN)/(RS)](https://img.qammunity.org/2023/formulas/mathematics/college/e1u0hpe6wt5l8avcxijzhk63705j7zprev.png)
Given;
![\begin{gathered} LN=6 \\ LM=5 \\ MN=3 \\ QS=7 \\ QR=6 \\ RS=4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/mtfobk7th5u1h67s5hfrtz652i10ko9362.png)
Let's now confirm if the ratio of their corresponding sides are equal.
![\begin{gathered} (LN)/(QS)=(6)/(7) \\ (LM)/(QR)=(5)/(6) \\ (MN)/(RS)=(3)/(4) \\ so; \\ (LN)/(QS)\\e(LM)/(QR)\\e(MN)/(RS) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/2rzf2k7n8f20vzrz3kkelig8v6is92xea8.png)
Therefore, the two triangles are "not similar"