Triangle calculator SAS

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

Obtuse isosceles triangle.

Sides: a = 5500   b = 5500   c = 9428.844030772

Area: T = 13354582.342
Perimeter: p = 20428.84403077
Semiperimeter: s = 10214.42201539

Angle ∠ A = α = 31° = 0.54110520681 rad
Angle ∠ B = β = 31° = 0.54110520681 rad
Angle ∠ C = γ = 118° = 2.05994885174 rad

Height: ha = 4856.212176072
Height: hb = 4856.212176072
Height: hc = 2832.709941201

Median: ma = 7212.074423522
Median: mb = 7212.074423522
Median: mc = 2832.709941201

Inradius: r = 1307.424441968
Circumradius: R = 5339.411107263

Vertex coordinates: A[9428.844030772; 0] B[0; 0] C[4714.422015386; 2832.709941201]
Centroid: CG[4714.422015386; 944.2366470668]
Coordinates of the circumscribed circle: U[4714.422015386; -2506.702166062]
Coordinates of the inscribed circle: I[4714.422015386; 1307.424441968]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149° = 0.54110520681 rad
∠ B' = β' = 149° = 0.54110520681 rad
∠ C' = γ' = 62° = 2.05994885174 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     