Equilateral Triangle online calculator

Online calculator and formulas for calculating an equilateral triangle


This function calculates the side length, height, perimeter and area of an equilateral triangle. Enter one parameters for the calculation. The result shows the values of all four properties.


Calculate equilateral triangle

 Input
Decimal places
 Results
Side length
Height
Perimeter
Area

Properties of an equilateral triangles

All sides are the same length

All angles in are the same size. Each angle is 60 °.

The medians, heights, and bisectors all intersect at the center of the triangle.


Formulas for equilateral triangles


Area (A)

\(\displaystyle A = \frac{ a^2 · \sqrt{3}}{4} \)

Perimeter (P)

\(\displaystyle P = a · 3 \)

Height (h)

\(\displaystyle h = \frac{ a · \sqrt{3}}{2} \)

Side length (a)

\(\displaystyle a = \frac{ h · 2}{ \sqrt{3}} \)    \(\displaystyle = \sqrt{ \frac{ A · 4}{ \sqrt{3}} } \)


1D Graphics Functions

Angle between two linesAngle between two vectorsCenter of a straight lineDistance of two pointsDistance of a point and a lineRise over RunSlope of a lineStraight line equationCircular arcHelixKoch snowflake

2D Graphics Functions

Angles

From Degree, Min, Sec to DecimalFrom Degree to PercentAngle sumAngles from side lengths

Triangles

Bisector of a triangleEquilateral triangleRight trianglesRight triangle from 1 side, 1 angleIsosceles right trianglesIsosceles trianglesTriangle area from 2 sides, 1 angleTriangle area from 1 side, 2 anglesTriangle, Incircle, given 3 sidesTriangle area given base and heightTriangle vertices, 3 x/y points

Quadrilateral

SquareRectangleGolden RectangleRectangle to SquareRhombus, given varios parameterRhombus area from diagonal e, fParallelogram from 2 sides, 1 angleParallelogram area from side and heightCyclic QuadrilateralGeneral QuadrilateralConcave QuadrilateralArrowhead QuadrilateralCrossed SquareFrameKiteKite Area from 2 diagonalHalf Square KiteRight KiteSymmetrical TrapezoidUnsymmetrica TrapezoidRight Angle TrapezoidTrapezoid-AreaTrapezoid AngleTri-equilateral Trapezoida

Polygons

TriangleSquarePentagonHexagonHeptagonOctagonNonagonDecagonHendecagonDodecagonHexadecagonN-GonPolygon ringConcave hexagonAxial Symmetric PentagonStretched HexagonStretched Octagon PentagramHexagramOctagramStar of Lakshmi

Circular

AnnulusAnnulus sectorCircleCircular anglesCircular arcsCircular sectorCircular segmentEllipseParabolic archSquaring the Circle

3D Graphics Functions

Angular

Cuboid Square Pillar Antiprism Hexagonal prism Triangular prism Regular prism Oblique prism Ramp Anticube Wedge Right Wedge RhombohedronParallelepipedTetrahedron, irregularTetragonal TrapezohedronPentagonal TrapezohedronPrismatoidStellated Octahedron Stellated DodecahedronGreat Stellated DodecahedronGreat Dodecahedron

Platonic solids

TetrahedronCubeOctahedronDodecahedron Icosahedron

Pyramids

Triangular PyramidPyramidPentagonal PyramidHexagonal PyramidHeptagonal PyramidRegular PyramidPyramid, truncated, squarePyramid, truncated, rectangularPyramid FrustumTriangular BipyramidPentagonal BipyramidHexagonal BipyramidRegular BipyramidTriangular Pyramid

Archimedean solids

CuboctahedronIcosidodecahedronRhombicosidodecahedronRhombicuboctahedronSnub cubeTruncated cubeSnub dodecahedronTruncated cuboctahedronTruncated dodecahedronTruncated icosahedronTruncated icosidodecahedronTruncated octahedronTruncated tetrahedron

Catalan solids

Disdyakis TriacontahedronDeltoidal HexecontahedronDeltoidal IcositetrahedronHexakis OctahedronPentagonal IcositetrahedronPentakis DodecahedronRhombic DodecahedronRhombic TriacontahedronTetrakis HexahedronTriakis OctahedronTriakis TetrahedronTriakis Icosahedron

Johnson solids

Square PyramidPentagonal PyramidTriangular CupolaSquare CupolaPentagonal CupolaRotundaElongated Triangular PyramidElongated Square PyramidElongated Pentagonal PyramidTriangular BipyramidPentagonal BipyramidElongated Square BipyramidGyrobifastigiumGyroelongated Square DipyramidSnub Disphenoid

Round solids

SphereSpherical capSpherical sectorSpherical segmentSpherical ringSpherical wedgeSpherical cornerSpheroidTriaxial ellipsoidEllipsoid volumeSpherical shellSolid anglesTorusSpindle torusOloidElliptic Paraboloid

Cones

ConeTruncated coneElliptic coneTruncated elliptic coneBiconeDouble conePointed pillarRounded cone

Cylinder

CylinderOblique cylinderTruncated cylinderCylindrical wedgeHollow cylinderHalf cylinderCylindrical sectorCylindrical segmentElliptical cylinderBicylinderTricylinderHyperboloid


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