Question

*In ∆ABC ∠A ≅ ∠C then which two sides of ∆ABC are congruent ?*
1️⃣ Any two
2️⃣ AC and BC
3️⃣ AB and AC
4️⃣ AB and BC​

Answer 1

Answer:

Ab and BC

option 4

Step-by-step explanation:

according to isocles triangle theroem

Answer 2

Given:  In ∆ABC ∠A ≅ ∠C

To Find :  which two sides of ∆ABC are congruent

Solution:

In ∆ABC

∠A ≅ ∠C

Measure of congruent angles are equal

=> m∠A = m∠C

In a triangle side opposite to Equal angles are Equal

Side opposite to ∠A  = BC

Side opposite to ∠C  = AB

Hence length of BC  = length of AB

Segments with equal length are congruent

Hence

BC ≅ AB

Sides AB and BC are  two sides of ∆ABC are congruent

Correct option  4️⃣ AB and BC​

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