Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Obtuse isosceles triangle.

Sides: a = 70   b = 70   c = 121.244355653

Area: T = 2121.762223927
Perimeter: p = 261.244355653
Semiperimeter: s = 130.6221778265

Angle ∠ A = α = 30° = 0.52435987756 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 120° = 2.09443951024 rad

Height: ha = 60.62217782649
Height: hb = 60.62217782649
Height: hc = 35

Median: ma = 92.60112958873
Median: mb = 92.60112958873
Median: mc = 35

Inradius: r = 16.24435565298
Circumradius: R = 70

Vertex coordinates: A[121.244355653; 0] B[0; 0] C[60.62217782649; 35]
Centroid: CG[60.62217782649; 11.66766666667]
Coordinates of the circumscribed circle: U[60.62217782649; -35]
Coordinates of the inscribed circle: I[60.62217782649; 16.24435565298]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150° = 0.52435987756 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 60° = 2.09443951024 rad

How did we calculate this triangle?

1. Calculation of the third side c of the triangle using a Law of Cosines Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     