Triangle calculator SAS

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

Obtuse isosceles triangle.

Sides: a = 42   b = 42   c = 66.64216805845

Area: T = 851.9476578787
Perimeter: p = 150.6421680584
Semiperimeter: s = 75.32108402922

Angle ∠ A = α = 37.5° = 37°30' = 0.65444984695 rad
Angle ∠ B = β = 37.5° = 37°30' = 0.65444984695 rad
Angle ∠ C = γ = 105° = 1.83325957146 rad

Height: ha = 40.56988847041
Height: hb = 40.56988847041
Height: hc = 25.56879800184

Median: ma = 51.59902781109
Median: mb = 51.59902781109
Median: mc = 25.56879800184

Inradius: r = 11.31109011461
Circumradius: R = 34.49662722658

Vertex coordinates: A[66.64216805845; 0] B[0; 0] C[33.32108402922; 25.56879800184]
Centroid: CG[33.32108402922; 8.52326600061]
Coordinates of the circumscribed circle: U[33.32108402922; -8.92882922474]
Coordinates of the inscribed circle: I[33.32108402922; 11.31109011461]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.5° = 142°30' = 0.65444984695 rad
∠ B' = β' = 142.5° = 142°30' = 0.65444984695 rad
∠ C' = γ' = 75° = 1.83325957146 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     