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Month: September 2021

pascals triangle diagram

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

Categories Algebra
pascals triangle diagram

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

Categories Algebra
complex numbers in polar form

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

Categories Algebra
example of conic sections

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

Categories Precalculus
diagram of a triangle with sides and height

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

Categories Geometry
diagram of stellated polygon- dodecahedron

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

Categories Geometry
animation of the missing square puzzle

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

Categories Geometry
proportions of special triangles

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

Categories Geometry
similar triangles by criteria side-side-side

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

Categories Geometry
triangle inequality with vectors

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

Categories Geometry
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