# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 9.06   b = 13.45   c = 10.05

Area: T = 45.52332269884
Perimeter: p = 32.56
Semiperimeter: s = 16.28

Angle ∠ A = α = 42.34222333441° = 42°20'32″ = 0.73990113845 rad
Angle ∠ B = β = 89.31329602407° = 89°18'47″ = 1.55988052209 rad
Angle ∠ C = γ = 48.34548064152° = 48°20'41″ = 0.84437760482 rad

Height: ha = 10.04992774809
Height: hb = 6.76992530838
Height: hc = 9.05993486544

Median: ma = 10.97441332232
Median: mb = 6.80656906336
Median: mc = 10.3077396616

Inradius: r = 2.7966267014
Circumradius: R = 6.72554835115

Vertex coordinates: A[10.05; 0] B[0; 0] C[0.10986368159; 9.05993486544]
Centroid: CG[3.3866212272; 3.02197828848]
Coordinates of the circumscribed circle: U[5.025; 4.4770067501]
Coordinates of the inscribed circle: I[2.83; 2.7966267014]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.6587766656° = 137°39'28″ = 0.73990113845 rad
∠ B' = β' = 90.68770397593° = 90°41'13″ = 1.55988052209 rad
∠ C' = γ' = 131.6555193585° = 131°39'19″ = 0.84437760482 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    