Given that, in two right triangles one side andacute angle of one are equal to the corresponding side and angles of the other.
We have to prove that the triangles are congruent.
Let us consider two right triangles such that
Now observe the two triangles ABC and DEF
So, by AAS congruence criterion, we have ΔABC ≅ ΔDEF
∴ The two triangles are congruent
Hence proved