Triangle calculator SSS - result

Please enter the triangle sides:

Acute isosceles triangle.

Sides: a = 19   b = 30   c = 30

Area: T = 270.3333012227
Perimeter: p = 79
Semiperimeter: s = 39.5

Angle ∠ A = α = 36.92329165935° = 36°55'23″ = 0.6444426464 rad
Angle ∠ B = β = 71.53985417032° = 71°32'19″ = 1.24985830948 rad
Angle ∠ C = γ = 71.53985417032° = 71°32'19″ = 1.24985830948 rad

Height: ha = 28.45661065503
Height: hb = 18.02222008152
Height: hc = 18.02222008152

Median: ma = 28.45661065503
Median: mb = 20.13770305656
Median: mc = 20.13770305656

Inradius: r = 6.84438737273
Circumradius: R = 15.81438288949

Vertex coordinates: A[30; 0] B[0; 0] C[6.01766666667; 18.02222008152]
Centroid: CG[12.00655555556; 6.00774002717]
Coordinates of the circumscribed circle: U[15; 5.00877124834]
Coordinates of the inscribed circle: I[9.5; 6.84438737273]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.0777083406° = 143°4'37″ = 0.6444426464 rad
∠ B' = β' = 108.4611458297° = 108°27'41″ = 1.24985830948 rad
∠ C' = γ' = 108.4611458297° = 108°27'41″ = 1.24985830948 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     