If `A B C\ a n d\ D E F` are two triangles such that `A C=2. 5\ c m ,\ B C=5\ c m ,\ /_C=75^0,\ d e=25. C M ,\ df=5\ C M\ a n d\ /_D=75^0` . Are two triangles congruent?

Explanation

To determine if the two triangles \( ABC \) and \( DEF \) are congruent, we will use the Side-Angle-Side (SAS) criterion for triangle congruence. The SAS criterion states that if two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is equal, then the two triangles are congruent.

### Step-by-step Solution:

1. **Identify the Given Information:**
- For triangle \( ABC \):
- \( AC = 2.5 \, \text{cm} \)
- \( BC = 5 \, \text{cm} \)
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