Question

state and prove the Thales theorem(or BPT) .
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Answer 1

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.

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Answer 2

Answer:

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Step-by-step explanation:

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

∆ABC , if DE || BC and intersects AB in D and AC in E then

AD AE

---- = ------

DB EC

Given : In ∆ABC , DE || BC and intersects AB in D and AC in E.

Prove that : AD / DB = AE / EC

Construction : Join BC,CD and draw EF ┴ BA and DG ┴ CA.