Statement I: It is given that the triangles are right angled triangles. We cannot say anything about their congruency.
Statement II: If the base and heights of the triangles are same, then their areas will be same. The triangles may or may not be congruent.
If we combine the two statements, then we can say that two triangles are right angled triangles and their base and height are equal. So their hypotenuse will also be equal. Therefore the two triangles are congruent.