# Triangle calculator SSS - result

Please enter the triangle sides:

### Obtuse scalene triangle.

Sides: a = 8.1   b = 10.6   c = 15.25

Area: T = 40.70327466393
Perimeter: p = 33.95
Semiperimeter: s = 16.975

Angle ∠ A = α = 30.23878677315° = 30°14'16″ = 0.52877503507 rad
Angle ∠ B = β = 41.22552046495° = 41°13'31″ = 0.72195155559 rad
Angle ∠ C = γ = 108.5376927619° = 108°32'13″ = 1.8944326747 rad

Height: ha = 10.05500608986
Height: hb = 7.68797635169
Height: hc = 5.3388065133

Median: ma = 12.49223476577
Median: mb = 110.9998295441
Median: mc = 5.55437712412

Inradius: r = 2.39878053985
Circumradius: R = 8.04222398248

Vertex coordinates: A[15.25; 0] B[0; 0] C[6.09222131148; 5.3388065133]
Centroid: CG[7.11440710383; 1.77993550443]
Coordinates of the circumscribed circle: U[7.625; -2.55767550526]
Coordinates of the inscribed circle: I[6.375; 2.39878053985]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.7622132269° = 149°45'44″ = 0.52877503507 rad
∠ B' = β' = 138.7754795351° = 138°46'29″ = 0.72195155559 rad
∠ C' = γ' = 71.4633072381° = 71°27'47″ = 1.8944326747 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    