EXPLANATION
Let's see the facts:
------------------------First triangle ----------------------------
First side measure =3
Second side measure = 4
Included angle measure = 62
----------------------Second triangle ------------------------
First side measure = 27
Second side measure= 36
Included angle measure = 62
We have two included and congruent angles because 62=62.
Let's make a representation:
Now, in order to conclude if both triangles are similar we need to prove that the relationship or ratios between the sides is the same, and then, by the S-A-S Postulates, we could infer that both triangles are similar.
First side relationship: 3/27 = 1/9
Second side relationship: 4/36 = 1/9
1/9 = 1/9
As First side relationship = Second side relationship, then the relationship is the same and by SAS Postulate, the triangles are similar.
Are the triangles similar? Yes, by SAS postulate.
