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"As for everything else, so for mathematical theory: beauty can be perceived but not explained." - ARTHUR CAYLEY
Select your language EnglishSpanish Angle sum and difference identities express trigonometric functions of sums of angles α ± β in terms of functions of α and β. Using the sum and difference formulas allows us to...
Select your language EnglishSpanish The perimeter of a right triangle is the sum of the lengths of the two legs and the hypotenuse (in other words, the sum of all three sides). Download this...
Select your language EnglishSpanish Some classical triangle centers are: Centroid (G) Orthocenter (H) Circumcenter (O) Incenter (I) Centroid of a Triangle The centroid of a triangle (or barycenter of a triangle) G is the...
Select your language EnglishSpanish The altitude of a triangle, or height, is a line from a vertex to the opposite side, that is perpendicular to that side. It can also be understood as the...
Select your language EnglishSpanish In a triangle ABC the orthocenter H is the intersection point of the three altitudes of the triangle. Every triangle has three altitudes (or heights) and three sides (or bases)....
Select your language EnglishSpanish An equilateral triangle has three equal sides and angles. As in any type of triangle, its area is equal to half of the product of its base and height. So...
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...
Select your language EnglishSpanish The arctangent (notation: arctan or tan-1) is the inverse function of the tangent. That is: As the arctangent and tangent are inverse functions, their composition is the identity. Thus: Properties...
