# Triangle calculator

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

### Obtuse scalene triangle.

Sides: a = 10.4   b = 6.8   c = 4.01327719837

Area: T = 7.41221123843
Perimeter: p = 21.21327719837
Semiperimeter: s = 10.60663859918

Angle ∠ A = α = 147.0933234193° = 147°5'36″ = 2.56772612441 rad
Angle ∠ B = β = 20.8076765807° = 20°48'24″ = 0.363314657 rad
Angle ∠ C = γ = 12.1° = 12°6' = 0.21111848395 rad

Height: ha = 1.42554062277
Height: hb = 2.18800330542
Height: hc = 3.69442604337

Median: ma = 2.03325278587
Median: mb = 7.11113409071
Median: mc = 8.55442045365

Inradius: r = 0.69988348708
Circumradius: R = 9.57216045566

Vertex coordinates: A[4.01327719837; 0] B[0; 0] C[9.72217508633; 3.69442604337]
Centroid: CG[4.57881742823; 1.23114201446]
Coordinates of the circumscribed circle: U[2.00663859918; 9.35989544843]
Coordinates of the inscribed circle: I[3.80663859918; 0.69988348708]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 32.9076765807° = 32°54'24″ = 2.56772612441 rad
∠ B' = β' = 159.1933234193° = 159°11'36″ = 0.363314657 rad
∠ C' = γ' = 167.9° = 167°54' = 0.21111848395 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 ### 8. Inradius ### 9. Circumradius ### 10. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.