Question

If AED and CED are both right triangles, what triangle congruence could be used to prove that the two triangles are congruent
(Hint: it is not Hypotenuse leg)

Answer 1

Answer:

The two triangles are congruent by AAS postulate.

Step-by-step explanation:

From the figure,

$\angle AED=90$°

$\angle CDE=90$°

So, $\angle AED \cong \angle CDE\cong 90$°

For the given triangles $\Delta AED\textrm{ and }\Delta CED$,

$\angle EAD\cong \angle ECD\\\angle AED \cong \angle CDE\\ED\cong ED(\textrm{common side})$

Therefore, the triangles are congruent by AAS postulate as two angles and one corresponding sides are congruent.