Triangle calculator SAS

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

Obtuse isosceles triangle.

Sides: a = 245.25   b = 245.25   c = 437.8133343951

Area: T = 24206.21999912
Perimeter: p = 928.3133343951
Semiperimeter: s = 464.1576671975

Angle ∠ A = α = 26.8° = 26°48' = 0.46877482395 rad
Angle ∠ B = β = 26.8° = 26°48' = 0.46877482395 rad
Angle ∠ C = γ = 126.4° = 126°24' = 2.20660961745 rad

Height: ha = 197.4400203801
Height: hb = 197.4400203801
Height: hc = 110.5787716854

Median: ma = 332.982221078
Median: mb = 332.982221078
Median: mc = 110.5787716854

Inradius: r = 52.15109254368
Circumradius: R = 271.9769634621

Vertex coordinates: A[437.8133343951; 0] B[0; 0] C[218.9076671975; 110.5787716854]
Centroid: CG[218.9076671975; 36.85992389514]
Coordinates of the circumscribed circle: U[218.9076671975; -161.3921917767]
Coordinates of the inscribed circle: I[218.9076671975; 52.15109254368]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.2° = 153°12' = 0.46877482395 rad
∠ B' = β' = 153.2° = 153°12' = 0.46877482395 rad
∠ C' = γ' = 53.6° = 53°36' = 2.20660961745 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     