Question

in the figure shown alongside, ABC is an isosceles triangle with AB = BC and E is the mid - point of AC.

a). name the equal sides of the two triangles formed .

b). is triangle BEA = triangle BEC ?​

Answer 1

Answer:

1425221

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REF.image

To prove : AB×EF=AD×EC

⇒

EC

AB

=

EF

AD

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

⇒

EC

AB

=

EF

AD

⇒AB×EF=AD×EC