Question

State and prove BPT Theorem.

Answer 1

The above 2 pictures ⬆️⬆️⬆️⬆️ are the answer

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Answer 2

Statement:
If a straight line is drawn parallel to one side of the triangle intersecting the two other sides, then it is divides the two sides in the same ratio.

Diagram:
Refer the attachment.

Given:
In a triangle ABC, a straight line is drawn parallel to BC, intersects AB at D and AC at E.

To Prove:
$\frac{ab}{db} = \frac{ae}{ec}$
Construction:
Join BE and CD. Draw EF perpendicular to EF and DG perpendicular to AC.

Proof:
Refer to the attachment