Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 8.1   b = 10.6   c = 15.25439095862

Area: T = 40.69327373536
Perimeter: p = 33.95439095862
Semiperimeter: s = 16.97769547931

Angle ∠ A = α = 30.22110985503° = 30°13'16″ = 0.52774576733 rad
Angle ∠ B = β = 41.2° = 41°12' = 0.71990756518 rad
Angle ∠ C = γ = 108.579890145° = 108°34'44″ = 1.89550593285 rad

Height: ha = 10.048758947
Height: hb = 7.67878749724
Height: hc = 5.3355384627

Median: ma = 12.49547340441
Median: mb = 11.00325396537
Median: mc = 5.55110864328

Inradius: r = 2.3976939725
Circumradius: R = 8.04662802594

Vertex coordinates: A[15.25439095862; 0] B[0; 0] C[6.09545607621; 5.3355384627]
Centroid: CG[7.11661567828; 1.77884615423]
Coordinates of the circumscribed circle: U[7.62769547931; -2.56436276243]
Coordinates of the inscribed circle: I[6.37769547931; 2.3976939725]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.779890145° = 149°46'44″ = 0.52774576733 rad
∠ B' = β' = 138.8° = 138°48' = 0.71990756518 rad
∠ C' = γ' = 71.42110985503° = 71°25'16″ = 1.89550593285 rad

How did we calculate this triangle?

1. Use 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     