## Mathematical Way Blog

Find the formulas you need for your studies. Mathematics, Statistics, Physics.

Mathematics at your fingertips. Discover a simple and complete way to learn.

## Mathematical Way Finder: "As for everything else, so for mathematical theory: beauty can be perceived but not explained." - ARTHUR CAYLEY

## Geometric Mean Theorem

Select your language EnglishSpanish Geometric mean (or mean proportional) appears in two popular theorems regarding right triangles. The geometric mean theorem (or altitude theorem) states that the altitude to the hypotenuse of a right...

## Area of a triangle

Select your language EnglishSpanish Finding the area of a triangle is depending on the type of triangle or which sides and angles we know. The most common formula for finding the area of a...

## Cosecant

Select your language EnglishSpanish The cosecant is the reciprocal trigonometric ratio of the sine. It is the reciprocal or multiplicative inverse of the sine, that is, csc θ · sin θ = 1. In a right triangle, the cosecant of...

## Angle bisector of a triangle

Select your language EnglishSpanish The angle bisector of a triangle is a line segment that bisects one of the vertex angles of a triangle, and ends up on the corresponding opposite side. There are...

## Heron’s Formula

Select your language EnglishSpanish Heron’s Formula gives the area of a triangle when we know all three sides. The area is calculated from the semiperimeter of the triangle, s and the length of the...

## Hypotenuse

Select your language EnglishSpanish The hypotenuse of a right triangle (or right-angled triangle) is the side opposite its right angle. It is the longest side of a right triangle. We can find the hypotenuse...

## Points, Lines, and Circles Associated with a Triangle

Select your language EnglishSpanish Every triangle has lines (also called cevians) and points that determine a number of important elements. There are many different constructions that find a special point associated with a triangle,...

## Cotangent

Select your language EnglishSpanish The cotangent is the reciprocal trigonometric ratio of the tangent. It is the reciprocal or multiplicative inverse of the tangent, that is, tan θ · cotθ = 1. In a right triangle, the cotangent of...

## Thales’ Theorem

Select your language EnglishSpanish There are several theorems that are attributed to Thales of Miletus, we are going to focus especially on two of them: Thales’ Theorem Thales’ Theorem is a special case of...

## Basic Elements of a Right Triangle

Select your language EnglishSpanish In a right triangle, different elements can be distinguished, referring to its sides and angles. Legs (or cathetus): are the sides of the triangle that together form the right angle....