# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 8.19   b = 7.21   c = 5.2

Area: T = 18.50664947248
Perimeter: p = 20.6
Semiperimeter: s = 10.3

Angle ∠ A = α = 80.8311372185° = 80°49'53″ = 1.41107735835 rad
Angle ∠ B = β = 60.35435651097° = 60°21'13″ = 1.05333684265 rad
Angle ∠ C = γ = 38.81550627052° = 38°48'54″ = 0.67774506436 rad

Height: ha = 4.51992905311
Height: hb = 5.13435630305
Height: hc = 7.11878825865

Median: ma = 4.76989647724
Median: mb = 5.83662680713
Median: mc = 7.26443031324

Inradius: r = 1.79767470607
Circumradius: R = 4.14879962111

Vertex coordinates: A[5.2; 0] B[0; 0] C[4.05111538462; 7.11878825865]
Centroid: CG[3.08437179487; 2.37326275288]
Coordinates of the circumscribed circle: U[2.6; 3.23220075135]
Coordinates of the inscribed circle: I[3.09; 1.79767470607]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 99.1698627815° = 99°10'7″ = 1.41107735835 rad
∠ B' = β' = 119.646643489° = 119°38'47″ = 1.05333684265 rad
∠ C' = γ' = 141.1854937295° = 141°11'6″ = 0.67774506436 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    