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:|
Note: If no results after filling in all coordinates, then the data provided is impossible to shape a triangle.
|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.
|Law of Cosines||
a2 = b2 + c2 - 2 × b × c × CosA;
b2 = a2 + c2 - 2 × a × c × CosB;
c2 = b2 + a2 - 2 × b × a × CosC;
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 ( ma )||ma2 = (2 * b2 + 2 * c2 - a2) / 4|
|Median of Side b ( mb )||mb2 = (2 * a2 + 2 * c2 - b2) / 4|
|Median 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)
All three angles of a triangle always add up to 180 ̊C. Triangle has three types based on its three angles.
has an angle > 90 ̊C.
has an angle = 90 ̊C.
all angles < 90 ̊C.
Triangle has three types based on the equality of its three sides.
all sides are equal, all angles are 60 ̊C.
two equal sides.
no equal sides and angles.