# Triangle calculator

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

### Obtuse scalene triangle.

Sides: a = 105   b = 38   c = 133

Area: T = 1508.97331608
Perimeter: p = 276
Semiperimeter: s = 138

Angle ∠ A = α = 36.66553494337° = 36°39'55″ = 0.6439931069 rad
Angle ∠ B = β = 12.48105313632° = 12°28'50″ = 0.21878263647 rad
Angle ∠ C = γ = 130.8544119203° = 130°51'15″ = 2.28438352199 rad

Height: ha = 28.74223459199
Height: hb = 79.42196400418
Height: hc = 22.69113257262

Median: ma = 82.52442388635
Median: mb = 118.3054691369
Median: mc = 42.57105297125

Inradius: r = 10.93545881217
Circumradius: R = 87.91990587658

Vertex coordinates: A[133; 0] B[0; 0] C[102.5198796993; 22.69113257262]
Centroid: CG[78.50662656642; 7.56437752421]
Coordinates of the circumscribed circle: U[66.5; -57.51109632528]
Coordinates of the inscribed circle: I[100; 10.93545881217]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.3354650566° = 143°20'5″ = 0.6439931069 rad
∠ B' = β' = 167.5199468637° = 167°31'10″ = 0.21878263647 rad
∠ C' = γ' = 49.14658807969° = 49°8'45″ = 2.28438352199 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    