# Triangle calculator

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

### Obtuse scalene triangle.

Sides: a = 45.3   b = 36.1   c = 74.37109776173

Area: T = 610.5499909318
Perimeter: p = 155.7710977617
Semiperimeter: s = 77.88554888087

Angle ∠ A = α = 27.0511019082° = 27°3'4″ = 0.4722129349 rad
Angle ∠ B = β = 21.2498980918° = 21°14'56″ = 0.37108646797 rad
Angle ∠ C = γ = 131.7° = 131°42' = 2.29985986249 rad

Height: ha = 26.95436383805
Height: hb = 33.82327096575
Height: hc = 16.41876921933

Median: ma = 53.89897360903
Median: mb = 58.87107368382
Median: mc = 17.17223446874

Inradius: r = 7.83884294515
Circumradius: R = 49.80438938952

Vertex coordinates: A[74.37109776173; 0] B[0; 0] C[42.22202484958; 16.41876921933]
Centroid: CG[38.86437420377; 5.47325640644]
Coordinates of the circumscribed circle: U[37.18554888087; -33.13110619991]
Coordinates of the inscribed circle: I[41.78554888087; 7.83884294515]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.9498980918° = 152°56'56″ = 0.4722129349 rad
∠ B' = β' = 158.7511019082° = 158°45'4″ = 0.37108646797 rad
∠ C' = γ' = 48.3° = 48°18' = 2.29985986249 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    