Question

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Describe Thales Theorem or Basic Proportional Theorem . Also express with the help of some diagrams :)

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[ Class 10 ( TRIANGLES ) ]​

Answer 1

Answer:

Basic Proportionality Theorem

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Basic proportionality theorem was proposed by a famous Greek mathematician, Thales, hence, it is also referred to as the Thales theorem. According to the famous mathematician, for any two equiangular triangles, the ratio of any two corresponding sides of the given triangles is always the same. Based on this concept, the basic proportionality theorem(BPT) was proposed. It gives the relationship between the sides of any two equiangular triangles.

The concept of Thales theorem has been introduced in similar triangles. If the given two triangles are similar to each other then,

Corresponding angles of both the triangles are equal

Corresponding sides of both the triangles are in proportion to each other

The theorem thus also helps us better understand the concept of similar triangles. Now let us try and understand the Basic Proportionality Theorem.

Step-by-step explanation:

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