English, asked by Anonymous, 2 months ago

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Answered by Anonymous
5

Given,

  • AB = AC.
  • AD = AE.

Find,

  1. /_ADB = /_AEC.
  2. ▲ABD congruent to ▲ACE.
  3. BE = DC.

Solution,

In triangle ABC , we have

AB = AC.

so,/_ABC = /_ACB.

(By equal side opposite angle are equal) .

Now,

In triangles ABD / ACE.

AB = AC (Given) .

AD = AE (Given) .

/_ABC = /_ACB (proved above) .

Thus,

Triangles ABD / ACE are congruent by SAS congruence.

Therefore

/_ADB = /_AEC (By CPCT) .

and DB = EC (By CPCT) .

adding both sides DE.

DB+DE=EC+DE.

BE = DC.

Answered by Anonymous
4

Answer:

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