Question

proof basic proportionality theorem ​

Answer 1

Answer:

Thales Theorem Statement

Let us now state the Basic Proportionality Theorem which is as follows: If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

Answer 2

$\boxed{ \sf \: Basic \: Proportionality \: Theorem \: (bpt)}$

This theorem states that if a line is drawn parallel || to one side of a triangle ∆ to intersect the other 2 sides in distinct points, the other 2 sides are divided in the same ratio.

From the figure, with the help of this proof, we can see that :-

$\sf \: \frac{AD}{AE} = \frac{AE}{EC}$

Refer to the attached images for the proof.

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Hope it helps.

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