Question

M R 3 5 4 N 6 6 2 S 7 ALMN

Answer 1

Answer:

The two triangles are "not similar"

$\begin{gathered} \frac{LN}{QS}=\frac{6}{7} \\ \frac{LM}{QR}=\frac{5}{6} \\ \frac{MN}{RS}=\frac{3}{4} \\ so; \\ \frac{LN}{QS}\ne\frac{LM}{QR}\ne\frac{MN}{RS} \end{gathered}$

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.

$\frac{LN}{QS}=\frac{LM}{QR}=\frac{MN}{RS}$

Given;

$\begin{gathered} LN=6 \\ LM=5 \\ MN=3 \\ QS=7 \\ QR=6 \\ RS=4 \end{gathered}$

Let's now confirm if the ratio of their corresponding sides are equal.

$\begin{gathered} \frac{LN}{QS}=\frac{6}{7} \\ \frac{LM}{QR}=\frac{5}{6} \\ \frac{MN}{RS}=\frac{3}{4} \\ so; \\ \frac{LN}{QS}\ne\frac{LM}{QR}\ne\frac{MN}{RS} \end{gathered}$

Therefore, the two triangles are "not similar"