Triangle Calculator |
Note: Calculation can be based on any 3 items above. If no results after click "Calculate" button, then the data provided is impossible to shape a triangle.
Calculation can be based on the coordinates of the three points of the triangle: |
X | Y | ||
A : | |||
B : | |||
C : |
Note: If no results after filling in all coordinates, then the data provided 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: |
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 Formulas
Law of Cosines |
a^{2} = b^{2} + c^{2} - 2 × b × c × CosA; b^{2} = a^{2} + c^{2} - 2 × a × c × CosB; c^{2} = b^{2} + a^{2} - 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) |
Median of Side a ( m_{a} ) | m_{a}^{2} = (2 * b^{2} + 2 * c^{2} - a^{2}) / 4 |
Median of Side b ( m_{b} ) | m_{b}^{2} = (2 * a^{2} + 2 * c^{2} - b^{2}) / 4 |
Median of Side c ( m_{c} ) | m_{c}^{2} = (2 * a^{2} + 2 * b^{2} - c^{2}) / 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. |