Question

I need to know if these triangles are similar if so then how?

Answer 1

Given:

Two triangles are similar if their corresponding angles are congruent and corresponding sides are in equal proportion.

The triangles can be sketched as shown;

Since both triangles have congruent angles, we check if the ratio of their corresponding sides is equal to confirm if they are similar or not.

Hence,

`\begin{gathered} (34)/(34)=(30)/(30) \\ (1)/(1)=(1)/(1) \\ 1:1=1:1 \\ Since\text{ the ratio of the two triangles is in equal proportion, then the triangles are similar.} \end{gathered}`

Therefore, the ski lodge and home are similar.

They are similar because they have corresponding congruent angles and also the ratio of corresponding sides is similar.