Properties of Pascal’s Triangle
Pascal’s triangle is a type of number pattern. The numbers are arranged in a way that reflects a triangle. First, … Read more
Month: September 2021
Applications of Pascal’s Triangle
Pascal’s triangle has many applications in mathematics and statistics. We can use Pascal’s triangle to find the binomial expansion. Also, … Read more
Complex Numbers in Polar Form – Formulas and Examples
By now we are familiar with writing complex numbers in the form z=a+bi. However, there are alternative ways of writing complex … Read more
Conic Sections – Formulas and Diagrams
Conic sections are obtained by the intersection of the surface of a cone with a plane. We can have four … Read more
Equilateral, Isosceles and Scalene Triangles
A triangle is a three-sided polygon that has three vertices and three interior angles. The sum of the interior angles … Read more
Stellations – Diagrams and Examples
Stellations are formed when we extend the sides of a polygon and those sides intersect each other. The number of … Read more
Missing Square Puzzle – Diagram and Solution
The missing square puzzle is an optical illusion found in mathematics that is used to teach reasoning using the axioms … Read more
Special Triangles – Formulas and Examples
Special triangles are right triangles that have special proportions for their sides. The 30°-60°-90° triangle has the proportions 1:√3:2. The … Read more
Similar and Congruent Triangles – Criteria
Similar triangles are characterized by having corresponding sides with the same proportions, but not necessarily with the same measurements. On … Read more
Triangle Inequality – Definition, Proof and Examples
The triangular inequality is one of the most commonly known theorems in geometry. This theorem tells us that the sum … Read more