A way to prove similar triangles is by SSS, side-side-side. If the measures of corresponding sides are known, then their proportionality can be calculated.
If two triangles have three pairs of sides in the same ratio, then the triangles are similar.
Let us name the sides of the triangle using their lengths. We have:

Therefore, for triangle 1, we have:

and for triangle 2. we have:

Following the SSS rule, we should have:

First ratio:

Second ratio:

Third ratio:

CONCLUSION:
We can see that all the ratios are not equal.
Therefore, the triangles are NOT SIMILAR.