Question

What is Basic Proportionality Theorem???? ​

Answer 1

Step-by-step explanation:

The intercept theorem, also known as Thales's theorem or basic proportionality theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two intersecting lines are intercepted by a pair of parallels.

Basic Proportionality Theorem states that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".

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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 :-

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

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