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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, 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

Round Forms:
Circle, Semicircle, Circular Sector, Circular Segment, Circular Layer, Round Corner, Annulus, Annulus Sector, Ellipse, Elliptical Segment, 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, 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, Spherical Shell, Cylindrical Shell, Spherical Ring, Torus, Arch, Reuleaux-Tetrahedron, Capsule, Lens, Barrel, Paraboloid, Hyperboloid, Oloid, Steinmetz Solids


Isosceles Triangle Calculator

Calculations in an isosceles triangle. This is a triangle with two sides of equal length. Enter two lengths and choose the number of decimal places. Then click Calculate. Angles are calculated in degrees, here you can convert angle units.

Euclid Legs length (a=b): Isosceles triangle
Special type of triangle
Base length (c):
Base angles (α=β):
Vertex angle (γ):
Height (h or hc):
Leg heights (ha = hb):
Perimeter (p):
Surface area (A):
Circumcircle radius (rc):
Incircle radius (ri):
Median line a, b (ma = mb):
Median line c (mc):
Round to    decimal places.

α = β = arccos( c / (2a) )
γ = arccos( ( 2 * a² - c² ) / (2a²) )

h = hc = √( 4 * a² - c² ) / 4
ha = hb = c * sin(β) = a * sin(γ)
p = 2 * a + c
A = h * c / 2
rc = ( 4 * h² + c² ) / ( 8 * h )
ri = c * h / ( 2 * a + c )
ma = mb = √a² + 2 * c² / 2
mc = √4 * a² - c² / 2

Lengths, height, median lines and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).


Side a and b, the legs, have the same length. The isosceles triangle is axially symmetric to the height hc.The centroid is at the intersection of the median lines. The intersections of the heights, median lines, perpendicular bisectors and bisecting lines lie all on height hc, on different locations.

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