Web EndMemo

   Triangle has three sides and three angles. The sum length of any two sides is longer than the length of the other side. All angles of a triangle always add up to 180 ̊C.
   Triangle has three types based on its three angles, including obtuse (1 angle > 90 ̊C), right (1 angle = 90 ̊C) and acute (no angle > 90 ̊C). It can be divided into three types based on three sides too, including scalene (no equal sides), equilateral (all sides equal) and isoscele (2 sides equal).

Triangle Calculator
Length of Side a:
Length of Side b:
Length of Side c:
Angle A:
Angle B:
Angle C:
   

Note: If no results after click "Calculate" button, then the data is impossible to shape a triangle.

Results:

Area:
Perimeter:
Circumscribed Circle Radius:
Inscribed Circle Radius:
Height of a:
Height of b:
Height of c:
Angle Bisector of a:
Angle Bisector of b:
Angle Bisector of c:
Median of a:
Median of b:
Median of c:

Calculation can be based on the coordinates of the three points of the triangle:
X Y
A :
B :
C :



Triangle Formulas

Law of Cosines a2 = b2 + c2 - 2 × b × c × CosA;
b2 = a2 + c2 - 2 × a × c × CosB;
c2 = b2 + a2 - 2 × b × a × CosC;
Area a × b × Sin(C) / 2 or
c × b × Sin(A) / 2 or
a × c × Sin(B) / 2
Angle Bisector of Side a 2 × b × c × Cos(A/2) / (b + c)
Angle Bisector of Side b 2 × a × c × Cos(B/2) / (a + c)
Angle Bisector of Side c 2 × a × b × Cos(C/2) / (a + b)
Media of Side a ( ma ) ma2 = (2 * b2 + 2 * c2 - a2) / 4
Media of Side b ( mb ) mb2 = (2 * a2 + 2 * c2 - b2) / 4
Media of Side c ( mc ) mc2 = (2 * a2 + 2 * b2 - c2) / 4
Circumscribed Circle Radius a / ( 2 * sin (A)) or
b / ( 2 * sin (B)) or
c / ( 2 * sin (C))
Inscribed Circle Radius a × Sin(C/2) × Sin(B/2) / Cos (A/2) or
b × Sin(A/2) × Sin(C/2) / Cos (B/2) or
c × Sin(A/2) × Sin(B/2) / Cos (C/2)


Triangle Types


All three angles of a triangle always add up to 180 ̊C. Triangle has three types based on its three angles.
Obtuse Triangle
has an angle > 90 ̊C. 		Right Triangle
has an angle = 90 ̊C. 		Acute Triangle
all angles < 90 ̊C.

Triangle has three types based on the equality of its three sides.
Equilateral Triangle
all sides are equal, all angles are 60 ̊C. 		Isosceles Triangle
two equal sides. 		Scalene Triangle
no equal sides and angles.






See Also:

→  Circle Calculator
→  Circular Cylinder Calculator
→  Cone calculator
→  Cylinder Calculator
→  Ellipse Equation calculator
→  Frustum of right circular cone calculator
→  Hyperbola Equation Calculator
→  Isosceles Triangle Calculator
→  Parabola Equation Solver Calculator
→  Parabola Vertex Focus Calculator
→  Parallelepiped calculator
→  Parallelogram calculator
→  Pyramid calculator
→  Rectangle Calculator
→  Regular Polygon Calculator
→  Right Circular Cylinder Calculator
→  Right Parallelepiped calculator
→  Right Triangle (Pathagorean Theorem) Calculator
→  Sector of Circle calculator
→  Sphere calculator
→  Torus Volume Surface Area Calculator
→  Trapezoid calculator
→  Triangle Scalene Calculator