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timama [110]
3 years ago
6

Heya!

Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Answer:

See Below.

Step-by-step explanation:

We are given that ABC is a triangle in which AB = AC.

A circle passing through B and C also intersects the sides AB and AC at points D and E respectively.

And we want to prove that AD = AE.

By the secant-secant theorem (shown below), we know that:

AD(AB)=AE(AC)

We are given that AB = AC. So, by substitution:

AD(AB)=AE(AB)

And by dividing both sides by AB (AB ≠ 0), we acquire:

AD=AE

Q.E.D.

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