Question

determine whether the triangles are similar by aa-, sss-, sas-, or not similar.

Explanation:

Step1: Calculate the ratios of corresponding sides

For \(\triangle CED\) and \(\triangle LMN\), the sides are \(CE = 56\), \(ED=80\), \(CD = 54\) and \(LM = 54\), \(LN = 45\), \(MN=36\).
The ratios are \(\frac{CD}{LM}=\frac{54}{54} = 1\), \(\frac{CE}{LN}=\frac{56}{45}\approx1.24\), \(\frac{ED}{MN}=\frac{80}{36}=\frac{20}{9}\approx2.22\).
Since the ratios of the corresponding sides are not equal.

Answer:

not similar