Which is another name for the BPT theorem?
Which is another name for the BPT theorem?
Another name for BPT is Thales theorem. As per this theorem, 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. What are the condition of two triangles to be similar?
How to prove the basic proportionality theorem 6.1?
Theorem 6.1 – Basic Proportionality Theorem (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: Δ ABC where DE ∥ BC To Prove: ??/?? = ??/?? Construction: Join BE and CD Draw DM ⊥ AC and EN ⊥ AB.
Is the converse of the mid point theorem true?
Also, the converse of mid-point theorem is also true which states that the line drawn through the mid-point of a side of a triangle which is parallel to another side, bisects the third side of the triangle. Hence, the basic proportionality theorem is proved. Converse of Basic Proportionality Theorem
Which is the correct definition of theorem 6.1?
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: Δ ABC where DE ∥ BC To Prove: ??/?? = ??/?? Construction: Join BE and CD Draw DM ⊥ AC and EN ⊥ AB.
Who is the inventor of the basic proportionality theorem?
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.
What is the corollary of the basic proportionality theorem?
The Basic Proportionality theorem was introduced by a famous Greek Mathematician, Thales, therefore, it is also called Thales Theorem. What is the corollary of BPT theorem? 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.
How is the Laplace transform used to solve a linear equation?
Laplace transforms To solve a linear differential equation using Laplace transforms, there are only 3 basic steps: 1. Take the Laplace transforms of both sides of an equation. 2. Simplify algebraically the result to solve for L{y} = Y(s) in terms of s. 3. Find the inverse transform of Y(s). (Or, rather, find a function y(t)
