real life example of converse of bpt
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Converse of Basic Proportionality Theorem:
If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side. Given : A Δ ABC and a line intersecting AB in D and AC in E, such that AD / DB = AE / EC.
real Life example of BPT
Thales thorem is used in Tiles & Painting and so on. It can be useful as paintings, tiles & many other things as such require precision & BPT helps to make sure that its in proportional.
- The theorem states that when a line is drawn parallel to one side of the triangle (inside it) it divides the other two sides of the same triangle in equal proportions.
- Similar is the Converse and it proves true.
- Thales' theorem can be used to construct the tangent to a given circle that passes through a given point.
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