SSS postulate
Step-by-step explanation:
Suppose there exist two right triangles ΔABC and DEF right angled at B and E, in which their corresponding hypotenuse and one leg are equal.
i.e. AC=DF and AB=DE
Then, by using Pythagoras theorem, we can conclude that
[tex]DE=\sqrt{AC^2-AB^2}=\sqrt{DF^2-DE^2}=DF[/tex]
Thus, ΔABC ≅ DEF, by SSS postulate
Thus, The HL congruence theorem for right triangles is a special case of the SSS postulate.
