An example of basic proportionality would be Pythagoras' theorem, in which he states that for any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides and is given by the formula of:
a2+b2 = c2 whereas a and b are the sides of the right angle triangle with c being its hypotenuse or longest side.
it can be used to draw tangents from a given point on a circle.
The theorem you are referring to is the Basic Proportionality Theorem, also known as Thales' Theorem. It states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. This means that the segments created on those two sides are in the same ratio as the lengths of the sides of the triangle.
Yes, a proportionality constant can have dimensions, depending on the relationship it describes. For example, in the equation ( F = kx ) (where ( F ) is force, ( k ) is the proportionality constant, and ( x ) is displacement), the constant ( k ) has dimensions of force per unit displacement. However, in some relationships where quantities are dimensionless, the proportionality constant may also be dimensionless.
Well, isn't that a happy little question! A non-example of a constant of proportionality would be a relationship where the ratio between two quantities is not always the same. Imagine a situation where the more you paint, the less paint you use each time - that would not have a constant of proportionality. Just like in painting, it's all about finding balance and harmony in the relationships around us.
A theorem is a statement or proposition which is not self-evident but which can be proved starting from basic axioms using a chain of reasoned argument (and previously proved theorems).
"thales" has given this bpt theorem.
Thales
The basic proportionality theorem is an important tool for proving similarity tests such as SAS. It is used in comparison of similar triangles and finding their measurements.
basic proportionality theorem,also known as thales theorem
it can be used to draw tangents from a given point on a circle.
The definition of a circle is not part of the triangle (or tringle, even) proportionality theorem.
its abbr. Is BPT. It is applied in equilateral triangle. For more info log on to www.wikipedia.com/thalesofmiletus
6.3 is 7% of what number and how do I get to the answer
Converse of the triangle proportionality theorem APEX :)
Everyone pays the same fare on a train journey. The total amount is proportional to the number of people on the train.
I guess, the BPT is used in Tiles & Painting and so on... It can be useful as paintings, tiles & many other things as such require precision & BPT helps to make sure that its in proportional. The theorem states that when a line is drawn parallel to one side of the triangle (inside it) it divides the other two sides of the same triangle in equal proportions. Similar is the Converse and it proves true. BPT stands for Basic Proportionality Theorem & was discovered by Thales. I hope this satisfies your question.
thyales theorem