Question

If triangle ABC is isoscels and AB=BC can 1/2 AB =1/2 A/C state the reason?​

Answer 1

Answer:

Step-by-step explanation:

REF.image

To prove : AB×EF=AD×EC

⇒ECAB​=EFAD​

Proof :

AB=AC (∵ ABC is isosceles)

∴∠B=∠C (angles opposite to equal sides are equal) - (1)

In ΔABD and ΔECF

∠ABD=∠ECF (from (1))

∠ADB=∠EFC (Both are 90∘)

Using AA similarity

ΔADB∼ΔECF

⇒ECAB​=EFAD​

⇒AB×EF=AD×EC

∴ Hence proved.