shams on 01 June 2007
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.
Gesta Non Verba
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