| shams said: Assuming they are right-angled triangles, they are definitely congruent ;) When 2 sides of a triangle, and the angle between them are equal (across 2 or more tris) - the triangles are identical. Its quite common to leave the "right-angle" visual indicator out - but it should be included for completeness. EDIT - actually, slightly incorrect. The 3rd side (the unmarked one) of the triangle HAS to be the same length in both tris - because they intersect halfway exactly. So you don't even need to have the right-angle indicator - its implicit.
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How do you know that they intersect halfway? You know that the horizontal line is cut halfway, but that doesn't tell you much about the diagonal line.
Pythagoras only works for right triangles, so again, that only works if you assume that these are right triangles.
