Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 42   b = 33   c = 42.45

Area: T = 641.2587955847
Perimeter: p = 117.45
Semiperimeter: s = 58.725

Angle ∠ A = α = 66.28106704526° = 66°16'50″ = 1.15768159298 rad
Angle ∠ B = β = 466.0002304625° = 46°1″ = 0.80328554782 rad
Angle ∠ C = γ = 67.71990990849° = 67°43'9″ = 1.18219212455 rad

Height: ha = 30.53660931356
Height: hb = 38.86441185362
Height: hc = 30.21223889681

Median: ma = 31.69438677034
Median: mb = 38.86883836813
Median: mc = 31.24109887007

Inradius: r = 10.92196757062
Circumradius: R = 22.9387610155

Vertex coordinates: A[42.45; 0] B[0; 0] C[29.17655300353; 30.21223889681]
Centroid: CG[23.87551766784; 10.07107963227]
Coordinates of the circumscribed circle: U[21.225; 8.69767427593]
Coordinates of the inscribed circle: I[25.725; 10.92196757062]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 113.7199329547° = 113°43'10″ = 1.15768159298 rad
∠ B' = β' = 1343.999769538° = 133°59'59″ = 0.80328554782 rad
∠ C' = γ' = 112.2810900915° = 112°16'51″ = 1.18219212455 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     