Question

Determine how (if possible) the triangles can be proved similar.40286042А.ААВ.SSSСSAS-DNot enough info/not similar

Answer 1

In the given triangles,

`\begin{gathered} AC\parallel BD \\ (AC)/(BD)=(60)/(42)=(10)/(7)\ldots\text{.}(1) \\ (AB)/(BE)=(40)/(28)=(10)/(7)\ldots\text{.}\mathrm{}(2) \end{gathered}`

Also,

`\angle CAB=\angle DBE\text{ (corresponding angles)}\ldots\ldots(3)`

Hence using equation (1), (2) and (3), the two triangles are similar from SAS property.

Thus, option (C) is correct.