Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 7.42436858171   b = 9.04331066442   c = 4.21663702136

Area: T = 15.49219333848
Perimeter: p = 20.68331626748
Semiperimeter: s = 10.34215813374

Angle ∠ A = α = 54.3511185088° = 54°21'4″ = 0.94986071321 rad
Angle ∠ B = β = 98.16330419156° = 98°9'47″ = 1.71332682852 rad
Angle ∠ C = γ = 27.48657729965° = 27°29'9″ = 0.48797172362 rad

Height: ha = 4.17436500618
Height: hb = 3.42662414443
Height: hc = 7.34884692283

Median: ma = 6
Median: mb = 4
Median: mc = 8

Inradius: r = 1.49880236464
Circumradius: R = 4.56878345007

Vertex coordinates: A[4.21663702136; 0] B[0; 0] C[-1.05440925534; 7.34884692283]
Centroid: CG[1.05440925534; 2.44994897428]
Coordinates of the circumscribed circle: U[2.10881851068; 4.05222422905]
Coordinates of the inscribed circle: I[1.29884746932; 1.49880236464]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.6498814912° = 125°38'56″ = 0.94986071321 rad
∠ B' = β' = 81.83769580844° = 81°50'13″ = 1.71332682852 rad
∠ C' = γ' = 152.5144227004° = 152°30'51″ = 0.48797172362 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     