Triangle calculator

Please enter what you know about the triangle:
You have entered median ma, median mb and median mc.

Acute scalene triangle.

Sides: a = 1.38224294236   b = 1.2777149604   c = 1.15108451001

Area: T = 0.68769497798
Perimeter: p = 3.81104241277
Semiperimeter: s = 1.90552120639

Angle ∠ A = α = 69.18880932308° = 69°11'17″ = 1.20875600301 rad
Angle ∠ B = β = 59.71992736979° = 59°43'9″ = 1.04222979529 rad
Angle ∠ C = γ = 51.09326330713° = 51°5'33″ = 0.89217346706 rad

Height: ha = 0.99438298015
Height: hb = 1.07657545986
Height: hc = 1.19438179687

Median: ma = 1
Median: mb = 1.1
Median: mc = 1.2

Inradius: r = 0.36105634212
Circumradius: R = 0.73994633174

Vertex coordinates: A[1.15108451001; 0] B[0; 0] C[0.69770722838; 1.19438179687]
Centroid: CG[0.61659724613; 0.39879393229]
Coordinates of the circumscribed circle: U[0.57554225501; 0.46444296358]
Coordinates of the inscribed circle: I[0.62880624598; 0.36105634212]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 110.8121906769° = 110°48'43″ = 1.20875600301 rad
∠ B' = β' = 120.2810726302° = 120°16'51″ = 1.04222979529 rad
∠ C' = γ' = 128.9077366929° = 128°54'27″ = 0.89217346706 rad

How did we calculate this triangle?

1. Input data entered: median ma, median mb and median mc. 2. From side a, side b and median mc we calculate side c: Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 3. The triangle circumference is the sum of the lengths of its three sides 4. Semiperimeter of the triangle 5. The triangle area using Heron's formula 6. Calculate the heights of the triangle from its area. 7. Calculation of the inner angles of the triangle using a Law of Cosines     