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Home | Forms | Contact & Privacy Geometric Calculators German: Geometrierechner

2D Regular Polygons:
Equilateral Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon, Hendecagon, Dodecagon, N-gon

Other Polygons:
Triangle, Right Triangle, Isosceles Triangle, IR Triangle, Rectangle, Rhombus, Parallelogram, Kite, Right Trapezoid, Isosceles Trapezoid, Trapezoid, Cyclic Quadrilateral, Tangential Quadrilateral, Arrowhead, Antiparallelogram, House-Shape, Concave Pentagon, Threestar, Fourstar, Pentagram, Hexagram, Star of Lakshmi

Round Forms:
Circle, Semicircle, Circular Sector, Circular Segment, Round Corner, Annulus, Annulus Sector, Ellipse, Stadium, Digon, Spherical Triangle, Reuleaux Triangle, Cycloid, Astroid, Hypocycloid, Cardioid, Parabolic Segment, Arbelos, Salinon, Lune, Oval, Three Circles, Lemniscate, Squircle
3D Platonic Solids:
Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron

Archimedean Solids:
Truncated Tetrahedron, Cuboctahedron, Truncated Cube, Truncated Octahedron, Rhombicuboctahedron, Icosidodecahedron, Truncated Dodecahedron, Truncated Icosahedron

Catalan Solids:
Triakis Tetrahedron, Rhombic Dodecahedron, Tetrakis Hexahedron, Deltoidal Icositetrahedron, Rhombic Triacontahedron

Johnson Solids:
Pyramids, Cupolae, Rotunda, Snub Disphenoid

Other Polyhedrons:
Cuboid, Square Pillar, Square Pyramid, Regular Pyramid, Pyramid, Regular Frustum, Frustum, Bipyramid, Ramp, Right Wedge, Wedge, Rhombohedron, Parallelepiped, Prism, Oblique Prism, Antiprism, Trapezohedron, Disphenoid, Corner, General Tetrahedron, Truncated Rhombohedron, Stellated Octahedron, Small Stellated Dodecahedron, Great Stellated Dodecahedron

Round Forms:
Sphere, Hemisphere, Cylinder, Cut Cylinder, Oblique Cylinder, Generalized Cylinder, Cone, Truncated Cone, Spheroid, Ellipsoid, Spherical Sector, Spherical Cap, Spherical Segment, Spherical Wedge, Cylindrical Wedge, Cylindrical Sector, Cylindrical Segment, Spherical Shell, Cylindrical Shell, Spherical Ring, Torus, Capsule, Lens, Paraboloid, Hyperboloid, Oloid, Steinmetz Solids


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Equilateral Triangle Calculator

Calculations in an equilateral triangle (regular trigon). This is the most simple regular polygon (polygon with equal sides and angles). Enter one value and choose the number of decimal places. Then click Calculate.


Euclid Edge length (a=b=c): Equilateral triangle
Special type of triangle
Height (h):
Perimeter (p):
Area (A):
Circumcircle radius (rc):
Incircle radius (ri):
Round to    decimal places.



Formulas:
h = √3 / 2 * a
p = 3 * a
A = a² * √3 / 4
rc = √3 / 3 * a
ri = √3 / 6 * a
Angle: 60°
0 diagonals

Length, height, perimeter and radius have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).

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Heights, bisecting lines, median lines, perpendicular bisectors and symmetry axes coincide. To these, the equilateral triangle is axially symmetric. They meet with centroid, circumcircle and incircle center in one point. To this, the equilateral triangle is rotationally symmetric at a rotation of 120°or multiples of this.

Equilateral triangle, perimeter and area
perimeter p, area A
Equilateral triangle, heights
heights ha, hb, hc
Equilateral triangle, incircle and circumcircle
incircle and circumcircle

Equilateral triangle, angles and bisecting lines
angles and bisecting lines
Equilateral triangle, median lines
median lines
Equilateral triangle, perpendicular bisectors
perpendicular bisectors



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