Basic Proportionality theorem was introduced by a famous Greek Mathematician, Thales, hence it is also called Thales Theorem. According to him, for any two equiangular triangles, the ratio of any two corresponding sides is always the same. Based on this concept, he gave theorem of basic proportionality (BPT). Theorem 6.1: If a line is drawn parallel to one side of a triangle to intersect the other two side in distinct points, the other two sides are divided in the same ratio. Given: Ξ ABC where DE β₯ BC To Prove: π΄π·/π·π΅ = π΄πΈ/πΈπΆ Construction: Join BE and CD Draw DM β₯ AC and EN β₯ AB.
Prove Thales theorem? EduRev Class 10 Question
The basic proportionality theorem, also known as the Thales theorem states that "the line drawn parallel to one side of a triangle and cutting the other two sides divides the other two sides in equal proportion ". For example, in the given figure, line DE is drawn parallel to side BC, such that it joins the other two sides, AB and AC. THEOREM 1: 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. Given: A triangle ABC in which a line parallel to side BC intersects other two sides AB and AC at D and E respectively. To prove: This video includes proof of basic proportionality theorem or Thales theorem.If you like our work, then you can donate us :-)Google Pay (G- Pay) : 8901108647. Hey!Thales Theorem is a nightmare for some students but in this video, we are going to learn it in a completely different way or should I say in a Dear Sir's. CBSE Exam, class 10
Thales Theorem Of Basic Proportionality Theorem
This is the Lecture 3 of Triangles Chapter - 6 of Class 10 Maths NCERT. In this lecture, you will learn the Basic Proportionality Theorem also known as Thale. In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle β ABC is a right angle. Thales's theorem is a special case of the inscribed angle theorem and is mentioned and proved as part of the 31st proposition in the third book of Euclid 's Elements. [1] Learn the concepts of Class 10 Maths Triangles with Videos and Stories. Solve Study Textbooks Guides. Join / Login >> Class 10 >> Maths >> Triangles. Basic Proportionality Theorem Or Thales Theorem. 3 mins read. Converse of Basic proportionality theorem. 2 mins read. Important Questions. Thales' theorem: If a triangle is inscribed inside a circle, where one side of the triangle is the diameter of the circle, then the angle opposite to that side is a right angle. The converse of this is also true. _\square Proof There are many ways to prove this theorem. One of the most classic proofs is as follows:
Proof of Thales theorem class 10 YouTube
Thales's Theorem or Basic Proportionality Theorem (BPT) states that 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. Proof of Thales Theorem. Proof of Basic Proportionality Theorem or Thales Theorem is given as follows: Solution Verified by Toppr Basic Proportionality Theorem states that, if a line is parallel to a side of a triangle which intersects the other sides into two distinct points,then the line divides those sides of the triangle in proportion. Let ABC be the triangle. The line l parallel to BC intersect AB at D and AC at E. To prove AD DB = AE EC
Mathemafia 939 views 2 years ago Topic: State and prove Theorem 6.1 (basic proportionality theorem - Also known as Thales theorem)Class: 10thChapter: 6, TrianglesTextbook:. Solution The ratio of any two corresponding sides in two equiangular triangles is always the same. This theorem is called as Basic Proportionality Theorem (Now known as Thales Theorem). To know more about Thales Theorem ( BPT ) read the following article. https://byjus.com/maths/basic-proportionality-theorem/ Suggest Corrections 4 Similar questions
class 10 chapter6 ex 6.1 Theorem 6.1 Theorems, Class, Math
Converse of basic proportionality theorem, thales theorem 10th standard, theorem 6.2 class 10 Statement:- If a line is drawn parallel to one side of the triangle to intersect the other two sides in two distinct points, the other two sides are divided in the same ratio. Theory Basic proportionality theorem (or Thales theorem): If a line is drawn parallel to one side of a triangle intersecting the other two sides then the line divides these sides in the same ratio. Procedure Step 1: Paste the sheet of white paper on the cardboard. Step 2: Draw a straight line PQ = 10 cm on this paper.
