# Triangle calculator

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

### Acute scalene triangle.

Sides: a = 109.3   b = 73.9   c = 95.1

Area: T = 3455.233020394
Perimeter: p = 278.3
Semiperimeter: s = 139.15

Angle ∠ A = α = 79.51113278253° = 79°30'41″ = 1.38877344632 rad
Angle ∠ B = β = 41.66987793931° = 41°40'8″ = 0.72772573957 rad
Angle ∠ C = γ = 58.82198927816° = 58°49'12″ = 1.02766007947 rad

Height: ha = 63.2254706385
Height: hb = 93.51109662771
Height: hc = 72.6655198821

Median: ma = 65.31545274805
Median: mb = 95.5510758762
Median: mc = 80.26773501494

Inradius: r = 24.83109752349
Circumradius: R = 55.57986685446

Vertex coordinates: A[95.1; 0] B[0; 0] C[81.64771608833; 72.6655198821]
Centroid: CG[58.91657202944; 24.22217329403]
Coordinates of the circumscribed circle: U[47.55; 28.77547440855]
Coordinates of the inscribed circle: I[65.25; 24.83109752349]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 100.4898672175° = 100°29'19″ = 1.38877344632 rad
∠ B' = β' = 138.3311220607° = 138°19'52″ = 0.72772573957 rad
∠ C' = γ' = 121.1880107218° = 121°10'48″ = 1.02766007947 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and c. ### 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    