# Triangle calculator

You have entered side a, b and c.

### Obtuse scalene triangle.

Sides: a = 60   b = 107   c = 125

Area: T = 3206.768846685
Perimeter: p = 292
Semiperimeter: s = 146

Angle ∠ A = α = 28.65438469175° = 28°39'14″ = 0.55001039721 rad
Angle ∠ B = β = 58.7755012269° = 58°46'30″ = 1.0265817482 rad
Angle ∠ C = γ = 92.57111408135° = 92°34'16″ = 1.61656711995 rad

Height: ha = 106.8922282228
Height: hb = 59.94395975113
Height: hc = 51.30882954696

Median: ma = 112.4144411887
Median: mb = 82.16599050632
Median: mc = 60.15218910758

Vertex coordinates: A[125; 0] B[0; 0] C[31.104; 51.30882954696]
Centroid: CG[52.03546666667; 17.10327651565]
Coordinates of the circumscribed circle: U[62.5; -2.80765637083]
Coordinates of the inscribed circle: I[39; 21.96441675812]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.3466153083° = 151°20'46″ = 0.55001039721 rad
∠ B' = β' = 121.2254987731° = 121°13'30″ = 1.0265817482 rad
∠ C' = γ' = 87.42988591865° = 87°25'44″ = 1.61656711995 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and 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. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines    