Kodu ❯ Kõik Definitsioonid ❯ Geomeetria ❯ Trigonomeetria ❯ Võrdkülgse kolmnurga pindala Määratlus
Võrdkülgse kolmnurga pindala Määratlus
The area of an equilateral triangle is calculated using the formula: A = s2√ 3 ⁄4 where s represents the equilateral triangles common side length.
Conversely to solve for the common side length of an equilateral triangle given the area you can rearrange the equation to get: s = √ 4A⁄√ 3 where A represents the area of the equilateral triangle.
The diagram below illustrates an equilateral triangle and its associated angle formula.
Omadused
Denoting the common length of the sides of the equilateral triangle as s, we can determine using the Pythagorean theorem that:
The area: A = s2√ 3 ⁄4
The perimeter: p = 3s.
The radius of the circumscribed circle: R =
The radius of the inscribed circle: r = or r =
The geometric center of the triangle is the center of the circumscribed and inscribed circles.
The altitude (height) from any side is h =
Denoting the radius of the circumscribed circle as R, we can determine using trigonometry that:
The area of the triangle is: A =
Many of these quantities have simple relationships to the altitude (h) of each vertex from the opposite side:
The area is: A =
The height of the center from each side or apothem is:
The radius of the circle circumscribing the three vertices is: R =
The radius of the inscribed circle is: r =
In an equilateral triangle, the altitudes, the angle bisectors, the perpendicular bisectors, and the medians to each side coincide.
Allikad
Equilateral Triangle. 18 Sept. 2020, en.wikipedia.org/wiki/Equilateral_triangle.