Question

Can you use the sss postulate or the sas postulate to prove ABC and AED are congruent ?

Answer 1

Neither SSS nor SAS apply.

Explanation:

SSS (Side-Side-Side)-

If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

SAS (Side-Angle-Side)-

If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.

It given in the picture that,

1. AC = AD (Side)
2. BC = DE (Side)
3. m∠BAC = m∠EAD (Angle)

So, ΔABC and ΔAED will not be congruent by either SSS or SAS.