Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and angle γ.

Acute scalene triangle.

Sides: a = 5.64   b = 4.917   c = 4.91766841664

Area: T = 11.3588313097
Perimeter: p = 15.47436841664
Semiperimeter: s = 7.73768420832

Angle ∠ A = α = 69.99547433355° = 69°59'41″ = 1.22216387303 rad
Angle ∠ B = β = 55.00552566645° = 55°19″ = 0.96600228347 rad
Angle ∠ C = γ = 55° = 0.96599310886 rad

Height: ha = 4.02877706018
Height: hb = 4.62200175298
Height: hc = 4.62203143063

Median: ma = 4.02877706112
Median: mb = 4.68548126266
Median: mc = 4.68550612271

Inradius: r = 1.46880812888
Circumradius: R = 3.00110815457

Vertex coordinates: A[4.91766841664; 0] B[0; 0] C[3.23545472188; 4.62203143063]
Centroid: CG[2.71770771284; 1.54401047688]
Coordinates of the circumscribed circle: U[2.45883420832; 1.72113496582]
Coordinates of the inscribed circle: I[2.82198420832; 1.46880812888]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 110.0055256665° = 110°19″ = 1.22216387303 rad
∠ B' = β' = 124.9954743335° = 124°59'41″ = 0.96600228347 rad
∠ C' = γ' = 125° = 0.96599310886 rad

How did we calculate this triangle?

1. Input data entered: side a, b and angle γ. 2. Calculation of the third side c of the triangle using a Law of Cosines 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     