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Altitude of a triangle 0

Altitude of a Triangle

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...

Angle bisector of a triangle 0

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...

Sum and Difference Identities and Formulas 0

Sum and Difference Identities and Formulas

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...

Sine 0

Sine

Select your language EnglishSpanish In a right triangle, the sine of an angle θ is defined as the ratio of the opposite leg (a) to the hypotenuse (c). It is one of the trigonometric...

Perimeter of a scalene triangle 0

Perimeter of a Scalene Triangle

Select your language EnglishSpanish A scalene triangle is a triangle in which all three sides are in different lengths. The perimeter of a scalene triangle with three unequal sides is determined by adding the...

Arcsine 0

Arcsine

Select your language EnglishSpanish The arcsine (notation: arcsin or sin-1) is the inverse function of the sine. That is: As the arcsine and sine are inverse functions, their composition is the identity. That is:...

Area of a scalene triangle 0

Area of a scalene triangle

Select your language EnglishSpanish The area of a scalene triangle can be calculated using Heron’s formula if all its sides (a, b and c) are known. It could also be calculated if a side...

Hypotenuse 0

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...

Equilateral triangle 0

Equilateral triangle

Select your language EnglishSpanish The equilateral triangle is the regular polygon simplest. Its three sides are equal. Therefore, their angles are also the three equal. Since all angles are equal and the angles are...

Orthocenter of a triangle 0

Orthocenter of a triangle

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)....