# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 10   b = 11   c = 12

Area: T = 51.52112334868
Perimeter: p = 33
Semiperimeter: s = 16.5

Angle ∠ A = α = 51.31878125465° = 51°19'4″ = 0.89656647939 rad
Angle ∠ B = β = 59.17695025682° = 59°10'10″ = 1.03327026366 rad
Angle ∠ C = γ = 69.51326848853° = 69°30'46″ = 1.21332252231 rad

Height: ha = 10.30442466974
Height: hb = 9.36774969976
Height: hc = 8.58768722478

Median: ma = 10.36882206767
Median: mb = 9.57986220303
Median: mc = 8.63113382508

Inradius: r = 3.12224989992
Circumradius: R = 6.40551261522

Vertex coordinates: A[12; 0] B[0; 0] C[5.125; 8.58768722478]
Centroid: CG[5.70883333333; 2.86222907493]
Coordinates of the circumscribed circle: U[6; 2.24217941533]
Coordinates of the inscribed circle: I[5.5; 3.12224989992]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.6822187453° = 128°40'56″ = 0.89656647939 rad
∠ B' = β' = 120.8330497432° = 120°49'50″ = 1.03327026366 rad
∠ C' = γ' = 110.4877315115° = 110°29'14″ = 1.21332252231 rad

# How did we calculate this triangle?

### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines    