Triangle calculator SAS

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

Obtuse isosceles triangle.

Sides: a = 60   b = 60   c = 103.9233048454

Area: T = 1558.846572681
Perimeter: p = 223.9233048454
Semiperimeter: s = 111.9621524227

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

Height: ha = 51.96215242271
Height: hb = 51.96215242271
Height: hc = 30

Median: ma = 79.37325393319
Median: mb = 79.37325393319
Median: mc = 30

Inradius: r = 13.92330484541
Circumradius: R = 60

Vertex coordinates: A[103.9233048454; 0] B[0; 0] C[51.96215242271; 30]
Centroid: CG[51.96215242271; 10]
Coordinates of the circumscribed circle: U[51.96215242271; -30]
Coordinates of the inscribed circle: I[51.96215242271; 13.92330484541]

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     