The HL congruence theorem for right triangles is a special case of the _____. ASA postulate SAS postulate SSS postulate AAS theorem

Question

asked Sep 2, 2018 229k views

2 Answers

VcRobe · Answer 1 · 2018-09-06T11:12:05+0000

SSS postulate

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

DE=√(AC^2-AB^2)=√(DF^2-DE^2)=DF

Thus, ΔABC ≅ DEF, by SSS postulate

Thus, The HL congruence theorem for right triangles is a special case of the SSS postulate.