Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 40   b = 60   c = 72.11

Area: T = 12009.99999943
Perimeter: p = 172.11
Semiperimeter: s = 86.055

Angle ∠ A = α = 33.69106107292° = 33°41'26″ = 0.58880120842 rad
Angle ∠ B = β = 56.3111154697° = 56°18'40″ = 0.98328150551 rad
Angle ∠ C = γ = 89.99882345738° = 89°59'54″ = 1.57107655143 rad

Height: ha = 609.9999999715
Height: hb = 409.999999981
Height: hc = 33.28224850764

Median: ma = 63.24549685746
Median: mb = 49.99992604945
Median: mc = 36.0566025502

Inradius: r = 13.94545703263
Circumradius: R = 36.05550000171

Vertex coordinates: A[72.11; 0] B[0; 0] C[22.18772978782; 33.28224850764]
Centroid: CG[31.43224326261; 11.09441616921]
Coordinates of the circumscribed circle: U[36.055; 0.00111109447]
Coordinates of the inscribed circle: I[26.055; 13.94545703263]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.3099389271° = 146°18'34″ = 0.58880120842 rad
∠ B' = β' = 123.6898845303° = 123°41'20″ = 0.98328150551 rad
∠ C' = γ' = 90.00217654262° = 90°6″ = 1.57107655143 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     