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. See more Let us now try to prove the basic proportionality theorem statement Consider a triangle ΔABC, as shown in the given figure. In this … See more According to this theorem, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. See more In a ∆ABC, sides AB and AC are intersected by a line at D and E respectively, which is parallel to side BC. Then prove that AD/AB = AE/AC. See more WebDec 17, 2024 · In this case, A D A B − A D = A E A C − A E must be true for basic proportionality theorem to hold true. LHS = 5 10 − 5 = 1. RHS = 6 12 − 6 = 1. Hence, …
Using converse of basic proportionality theorem, prove that …
WebA proof of the basic proportionality theorem states that if two lines are parallel, then the ratio of their corresponding perpendiculars is equal to the ratio of their corresponding lengths. To prove this theorem, we will use three points that lie on one of the parallel lines, and construct the perpendiculars to the other line. WebStatement: According to the BPT (Basic Proportionality Theorem), when a line is drawn parallel to one of the three sides of a triangle in such a way that it intersects the other two sides in distinct points, then the other two sides of the same triangle are divided into the same ratio. Proof: Given: golden flatts primary school
CBSE Class 10 Maths Converse of BPT - TopperLearning
WebAug 8, 2016 · 1. BASIC PROPORTIONALITY THEOREM AND CONVERSE OF IT!!!!!! 2. What is basic proportionality theorem? This theorem is also called Thales theorem. It … WebThe BPT also has a converse which states, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. (Note: A converse of any theorem is just a reverse of the original theorem, just like we have active and passive voices in English.) Read the properties of Triangles and Quadrilaterals here. WebDec 29, 2024 · 4.7K views 3 years ago Triangles Similarity of Triangles Class 10 Chapter 6 Corollary (6.1.a): (Corollary of Thales Theorem, or Corollary of Basic Proportionality Theorem, or Corollary of... hdfc bank regalia rewards catalogue