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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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Isosceles, Right Triangle Calculator

Calculations in an isosceles and right triangle (45-45-90-triangle). Enter one value and choose the number of decimal places. Then click Calculate.


Pythagoras Catheti (a=b): Isosceles right triangle
Form: diagonally halved square
Hypotenuse (c):
Height (hc):
Median lines a, b (ma = mb):
Perimeter (p):
Area (A):
Circumcircle radius (rc):
Incircle radius (ri):
Round to    decimal places.



Formulas:
c = √2 * a
hc = mc = √2 * a / 2
ha = hb = a = b
ma = √5 * a / 2
p = ( 2 + √2 ) * a
A = a² / 2
rc = a / √2
ri = a / (2 + √2 )
Hypotenuse angles: 45°


Catheti (legs), hypotenuse, median lines, heights, perimeter and radius have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).

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Side a and b, the catheti (legs), have the same length. The triangle is axially symmetric to the height hc, this is identical to median line sc. Heights ha and hb are identical to the sides b and a. The centroid is at the intersection of the median lines.

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

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



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