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 = 5.69660024969   b = 4.80774017006   c = 3.33333333333

Area: T = 8
Perimeter: p = 13.83767375308
Semiperimeter: s = 6.91883687654

Angle ∠ A = α = 86.82201698801° = 86°49'13″ = 1.51552978215 rad
Angle ∠ B = β = 57.42659428654° = 57°25'33″ = 1.00222717791 rad
Angle ∠ C = γ = 35.75438872544° = 35°45'14″ = 0.6244023053 rad

Height: ha = 2.80989875327
Height: hb = 3.32882011774
Height: hc = 4.8

Median: ma = 3
Median: mb = 4
Median: mc = 5

Inradius: r = 1.15663419458
Circumradius: R = 2.85223929261

Vertex coordinates: A[3.33333333333; 0] B[0; 0] C[3.06766666667; 4.8]
Centroid: CG[2.13333333333; 1.6]
Coordinates of the circumscribed circle: U[1.66766666667; 2.31548148148]
Coordinates of the inscribed circle: I[2.11109670648; 1.15663419458]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 93.18798301199° = 93°10'47″ = 1.51552978215 rad
∠ B' = β' = 122.5744057135° = 122°34'27″ = 1.00222717791 rad
∠ C' = γ' = 144.2466112746° = 144°14'46″ = 0.6244023053 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     