Question

ABC is an isosceles triangle with AB = AC
D and E are two points such that AD = AE
Show that BE = CD.​

Answer 1

Answer:

by transitivity property of isosceles triangle

Answer 2

Answer:

Step by step explaination:

✪ Given -

• ABC is an isosceles triangle .
• AB = AC .
• AD = AE .

✪ TO PROVE -

BE = CD .

✪ PROOF -

In ∆ ABE and ∆ ACD -

AB = AC ( Isosceles ∆)

AD = AE ( Given)

angle BAE = angle CAD ( Common).

So, ∆ ABE = ∆ ACD ( By S.A.S Criteria).

Hence ,

BE = CD ( By c.p.c.t )

(Proved).

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