The triangle proportionality theorem is a geometric law stating that when you draw a line parallel to one side of a triangle, it’ll intersect the other two sides of the triangle and divide them proportionally.
Who discovered the basic proportionality theorem?
A prominent Greek mathematician, Thales, developed the fundamental proportionality theorem, which is also known as a Thales theorem. In his view, the ratio of each two matching sides is always the same for any two equiangular triangles.
What is a proportional triangle?
If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.
What is basic proportionality theorem explain?
Basic Proportionality Theorem (can be abbreviated as BPT) 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 in proportion.
Where is basic proportionality theorem used?
The basic proportionality theorem helps to find the lengths in which the two sides of a triangle are divided by a line drawn parallel to the third side. Further, it has applications to find the relationship between two equiangular triangles.
What is converse of basic proportionality theorem?
Converse of Basic Proportionality Theorem : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.
What is Thales theorem math?
In geometry, Thales’ theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle 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.
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