Question

Prove that the given triangles are congruent​

Answer 1

Answer:

EA =AC

DA=AB

<BAC=<EAD

SO THE GIVEN TRIANGLE

BAC AND EAD

ARE PROVED BY

SIDE ANGLE SIDE

BY (CPCTC)

Answer 2

Given :-

EA = BA

AD = AC

To prove :-

ΔADE ≅ ΔABC

Proof :-

Points which help us to prove that ΔADE ≅ ΔABC are :

1. EA = BA

(Given in the picture)

2. AD = AC

(Given in the picture)

3. ∠EAD = ∠BAC

(Vertically opposite angles)

So, from the above points it can be concluded that

ΔADE ≅ ΔABC

(By SSA Axiom)

Note :-

• ≅ sign means that two triangles are congruent.

• SSA Axiom means Side, Side, Angle Axiom.