# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 19   b = 23   c = 24

Area: T = 203.9121745616
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 47.63302014306° = 47°37'49″ = 0.83113038384 rad
Angle ∠ B = β = 63.4255030481° = 63°25'30″ = 1.10769756101 rad
Angle ∠ C = γ = 68.94547680884° = 68°56'41″ = 1.20333132052 rad

Height: ha = 21.46443942753
Height: hb = 17.73114561405
Height: hc = 16.9932645468

Median: ma = 21.5
Median: mb = 18.33771208209
Median: mc = 17.34993515729

Inradius: r = 6.17991438065
Circumradius: R = 12.85985040165

Vertex coordinates: A[24; 0] B[0; 0] C[8.5; 16.9932645468]
Centroid: CG[10.83333333333; 5.6644215156]
Coordinates of the circumscribed circle: U[12; 4.62196456077]
Coordinates of the inscribed circle: I[10; 6.17991438065]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.3769798569° = 132°22'11″ = 0.83113038384 rad
∠ B' = β' = 116.5754969519° = 116°34'30″ = 1.10769756101 rad
∠ C' = γ' = 111.0555231912° = 111°3'19″ = 1.20333132052 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    