LL Congruence theorem says: If the two legs of one right triangle are congruent to the two legs of another right triangle, then the two right triangles are congruent.
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You left out one very important detail . . . the statement is true for a RIGHT triangle.
LL , La , HL and Ha
LA Congruence Theorem says: If one leg and an acute angle of one right triangle are congruent to one leg and an acute angle of another right triangle, then the two right triangles are congruent.
legs