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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, Hexadecagon, N-gon

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

Round Forms:
Circle, Semicircle, Circular Sector, Circular Segment, Circular Layer, Round Corner, Annulus, Annulus Sector, Ellipse, Elliptical Segment, Stadium, Digon, Spherical Triangle, Spiral, Reuleaux Triangle, Cycloid, Astroid, Hypocycloid, Cardioid, Epicycloid, 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, Elongated Pyramids, 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, Half Cuboid, Skewed Cuboid, Truncated Rhombohedron, Stellated Octahedron, Small Stellated Dodecahedron, Great Stellated Dodecahedron

Round Forms:
Sphere, Hemisphere, Cylinder, Cut Cylinder, Oblique Cylinder, Generalized Cylinder, Cone, Truncated Cone, Oblique Circular Cone, Elliptic Cone, Spheroid, Ellipsoid, Spherical Sector, Spherical Cap, Spherical Segment, Spherical Wedge, Cylindrical Wedge, Cylindrical Sector, Cylindrical Segment, Flat End Cylinder, Spherical Shell, Cylindrical Shell, Spherical Ring, Torus, Arch, Reuleaux-Tetrahedron, Capsule, Lens, Barrel, Egg Shape, Paraboloid, Hyperboloid, Oloid, Steinmetz Solids


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Triangle Calculator

Calculations in a general triangle. Enter exactly three values, including at least one side length. When entering three sides, any two sides together must be longer than the third. Please enter angles in degrees, here you can convert angle units.


Euclid Side a: Dreieck
Side b:
Side c:
Angle α:
Angle β:
Angle γ:
Round to    decimal places.


Status:
Perimeter (p):
Area (A):
Height ha:
Height hb:
Height hc:
Circumcircle radius (rc):
Incircle radius (ri):
Median line ma:
Median line mb:
Median line mc:

Triangle shape (longest side at the bottom):
Formulas:
SSS: Law of cosines
α = arccos( (b² + c² - a²) / 2bc )
β = arccos( (a² + c² - b²) / 2ac )
γ = arccos( (a² + b² - c²) / 2ab )

SAS:
a = √b² + c² - 2bc * cos( α )
b = √a² + c² - 2ac * cos( β )
c = √a² + b² - 2ab * cos( γ )

SSA: Law of sines
a / sin( α ) = b / sin( β ) = c / sin( γ )
unique, if the known angular is opposite to the larger of the two given sides, otherwise there are two solutions.

ASA and AAS:
Third angle = 180° - other two angles, then law of sines

p = a + b + c
A = √p/2 * (p/2-a) * (p/2-b) * (p/2-c)

ha = c * sin( β )
hb = a * sin( γ )
hc = b * sin( α )

rc = a / (2 * sin( α/2 ))
ri = 4r * sin( α/2 ) * sin( β/2 ) * sin( γ/2 )

ma = √2 * ( b² + c² ) - a² / 2
mb = √2 * ( c² + a² ) - b² / 2
mc = √2 * ( a² + b² ) - c² / 2

Side length, perimeter, radius and heights have the same unit (e.g. meter), the area has this unit squared (e.g. square meter), the angles are in degrees.

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The centroid is at the intersection of the median lines, the center of the circumcircle is at the intersection of the perpendicular bisectors, the center of the incircle is at the intersection of the bisecting lines.

Isosceles triangle, perimeter and area
perimeter p, area A
Isosceles triangle, sides and angles
sides and angles
Isosceles triangle, heights
heights

Isosceles triangle, median lines and centroid
median lines and centroid
Isosceles triangle, perpendicular bisectors and circumcircle
perpendicular bisectors and circumcircle
Isosceles triangle, bisecting lines and incircle
bisecting lines and incircle



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