Question

determine how (if possible) the triangles can be proved similar.

sss~
aa~
sas~
not similar
clear my selection

Explanation:

Step1: Calculate the ratios of corresponding sides

For the two triangles, we have three pairs of corresponding sides. Let's calculate the ratios:

• $\frac{40}{28}=\frac{10}{7}$
• $\frac{60}{42}=\frac{10}{7}$
• Also, the included angle between these sides is common (vertically opposite angles are equal).

Step2: Apply the SAS similarity criterion

Since the ratios of two pairs of corresponding sides are equal ($\frac{10}{7}$) and the included angles are equal, by the SAS (Side - Angle - Side) similarity criterion, the triangles are similar.

Answer:

SAS~