Answer:
yes, the triangles are similar
Step-by-step explanation:
You want to know if the triangles with side lengths {1.11, 1.32, 1.24} meters and {2.64, 2.22, 2.48} meters and congruent corresponding angles are similar.
Similarity
Triangles are similar if (a) their corresponding angles are congruent and/or (b) corresponding sides are proportional.
The first statement, "the corresponding angles in these polygons are congruent" tells you the triangles are similar.
Sides
The side lengths of a triangle can be written in order from shortest to longest without changing any information about the triangle. If they are not in that order, reversing the orientation of the triangle can put them in that order. (This will not be true of a polygon with more than 3 sides.)
Here, the sides in order least to greatest are ...
{1.11, 1.24, 1.32}
{2.22, 2.48, 2.64}
It is easy to see the side lengths of the larger triangle are double those of the smaller triangle. Hence corresponding sides are proportional, and the triangles are also similar based on side lengths.
__
Additional comment
The order of side lengths of the two triangles is different because one is a dilated reflection of the other.
