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Jefferson Huera Guzman

height of a scalene triangle

Height of a Scalene Triangle – Formulas and Examples

The height of a triangle is the perpendicular distance from the base to the opposite vertex. We can calculate the … Read more

Categories Geometry
exponential growth and exponential decay

Exponential Decay – Formulas and Examples

We can model real-life situations with exponential functions. One of these situations is population decline. There are “standard” formulas that … Read more

Categories Algebra
diagram to prove the second case of inscribed angles

Inscribed Angle Theorem – Cases and Proofs

The inscribed angle theorem indicates that when we have a central angle and an inscribed angle that intersect in the … Read more

Categories Geometry
inscribed angle, central angle and intersected arc

Inscribed Angle Theorem – Formulas and Examples

The inscribed angle theorem is one of the most important theorems in geometry. This theorem tells us that when we … Read more

Categories Geometry
example of complementary adjacent angles

Adjacent Angles – Definition, Properties and Examples

Adjacent angles are angles that have a common vertex and a common side but do not overlap. Recall that a … Read more

Categories Geometry
example 1 of Thales' theorem -

Examples and Problems with Thales’ Theorem

Thales’ theorem tells us that a triangle inscribed in a circle, where the hypotenuse corresponds to the diameter of the … Read more

Categories Geometry
Thales' theorem diagram

Thales’ Theorem – Explanation and Examples

Thales’ theorem tells us that the diameter of a circle always forms a right triangle when we connect it to … Read more

Categories Geometry
3D Pythagorean theorem formula

3D Pythagorean Theorem – Formula and Examples

The 3D Pythagorean theorem is an extension of the 2D Pythagorean theorem that can be used to solve problems in … Read more

Categories Geometry
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
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