# Triangle calculator

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

### Obtuse scalene triangle.

Sides: a = 51   b = 56   c = 77

Area: T = 1427.193304931
Perimeter: p = 184
Semiperimeter: s = 92

Angle ∠ A = α = 41.45497838314° = 41°26'59″ = 0.72334352021 rad
Angle ∠ B = β = 46.624394476° = 46°37'26″ = 0.81437413463 rad
Angle ∠ C = γ = 91.92662714086° = 91°55'35″ = 1.60444161052 rad

Height: ha = 55.96883548749
Height: hb = 50.97111803325
Height: hc = 37.07699493327

Median: ma = 62.30877041785
Median: mb = 59
Median: mc = 37.23223783823

Inradius: r = 15.51329679273
Circumradius: R = 38.52217683246

Vertex coordinates: A[77; 0] B[0; 0] C[35.0265974026; 37.07699493327]
Centroid: CG[37.3421991342; 12.35766497776]
Coordinates of the circumscribed circle: U[38.5; -1.29548493554]
Coordinates of the inscribed circle: I[36; 15.51329679273]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.5550216169° = 138°33'1″ = 0.72334352021 rad
∠ B' = β' = 133.376605524° = 133°22'34″ = 0.81437413463 rad
∠ C' = γ' = 88.07437285914° = 88°4'25″ = 1.60444161052 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    