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Basic Proportionality Theorem says: If a line is drawn parallel to one side of the triangle to intersect the other two sides at distinct points .Then the other two sides are divided in the same ratio.
PROOF ( to follow this proof, just draw the triangles and segments)
Draw triangle PQR and construct line L parallel to segment QR.
Line L intersects segment PQ and segment PR at S and T respectively.
We want to show that length of PS/ length of QS is equal to length PT/ length of PR since that is what the BPT says.
Construct segments SR and QT.
Look at triangles PTS and QTS and note they have the same height which implies that
the area of triangle PTS/ area of triangle QTS is equal to PS/ SQ.
By the same reasoning, the areas of triangle SPT/ triangle SRT is equal to PT/TR.
Triangles QTS and SRT both have the same height and both have ST as a base segment so they have the same area.
So the ratio of the area of triangle PTS to the area of triangle QTS is equal to the ratios of the area of triangles SPT/SRT.
So the ratio of PS/SQ is equal to PT/TR
Since line L which is parallel to segment QR divides segment PQ and segment PR in the same ratio we have proved the BPT.
What else can I help you with?
What are the applications of bpt or thales theorem?
BPT, or the Basic Proportionality Theorem, also known as Thales' Theorem, has several applications in geometry, particularly in solving problems related to similar triangles. It is used to determine lengths and areas in geometric figures, facilitate construction tasks, and analyze proportional relationships in various shapes. Additionally, it finds applications in fields like surveying, architecture, and even in computer graphics for rendering shapes accurately.
Why the Pythagorean Theory got his name?
the Pythagorean Theorem got its name from the man Pythagoras who came up with the theory.
Who developed the theory a plus b equals c?
A Mathematician named Pythagorean. That is why it is called Pythagorean's theorem. For every right triangle, this theorem will be true.
Why is Pythagoras theorem only a theory that can not be proven?
It can be proven to an extent but if the sides of a right angle triangle are equal in length then using Pythagoras' theorem is impossible to exactly find the length of its hypotenuse which will always be an irrational number that can't be determined.It is a theorem, not a theory. They are not the same. A theorem is shown to be true based on axioms, what is already known to be true. It does not need to be proven using a scientific method.
What is misky's theorem?
Misky's theorem, often referred to in the context of mathematical logic or set theory, is not a widely recognized theorem like others in mathematics. It may be a misspelling or confusion with a similar-sounding theorem. If you meant a specific theorem or concept, please provide additional context or clarification, and I would be happy to assist further!
Proof of bpt theorem?
Theory_of_BPT_theorem
Who had given Basic Proportionality Theorem?
"thales" has given this bpt theorem.
What is full form of BPT?
basic proportionality theorem,also known as thales theorem
What is the history of basic proportionality theorem?
its abbr. Is BPT. It is applied in equilateral triangle. For more info log on to www.wikipedia.com/thalesofmiletus
What are the applications of bpt or thales theorem?
BPT, or the Basic Proportionality Theorem, also known as Thales' Theorem, has several applications in geometry, particularly in solving problems related to similar triangles. It is used to determine lengths and areas in geometric figures, facilitate construction tasks, and analyze proportional relationships in various shapes. Additionally, it finds applications in fields like surveying, architecture, and even in computer graphics for rendering shapes accurately.
Is a proven theory still a theory?
No it would be a theorem if it was proven.
Which has better career BPT or BHMS?
obviously! BHMS.... BPT is just a therapist....whereas BHMS are doctor!!!!!!
Prove Hall's theorem from Tutte' theorem graph theory?
in this theorem we will neglect the given resistance and in next step mean as second step we will solve
Are a theorem and a theory the same thing?
More or less, yes.
Is it true any hunch you have is a good as a scientific theory?
a theorem rather, it has to be proven to become an accepted theory.
Is it true that any hunch you have is a good as a scientific theory?
a theorem rather, it has to be proven to become an accepted theory.
How do you patent your mathematical theory?
As an abstract idea, a theorem would not be patentable.
