Triangle calculator SSA

Please enter two sides and a non-included angle
°

Acute scalene triangle.

Sides: a = 34   b = 46   c = 38.8499034075

Area: T = 646.0021521012
Perimeter: p = 118.8499034075
Semiperimeter: s = 59.42545170375

Angle ∠ A = α = 46.3010955004° = 46°18'3″ = 0.80881041116 rad
Angle ∠ B = β = 78° = 1.36113568166 rad
Angle ∠ C = γ = 55.6999044996° = 55°41'57″ = 0.97221317254 rad

Height: ha = 388.0000894713
Height: hb = 28.08770226527
Height: hc = 33.25770184249

Median: ma = 39.03436229971
Median: mb = 28.34882578703
Median: mc = 35.47879951218

Inradius: r = 10.87109595503
Circumradius: R = 23.51438336819

Vertex coordinates: A[38.8499034075; 0] B[0; 0] C[7.06989974878; 33.25770184249]
Centroid: CG[15.30660105209; 11.08656728083]
Coordinates of the circumscribed circle: U[19.42545170375; 13.25109815591]
Coordinates of the inscribed circle: I[13.42545170375; 10.87109595503]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.6999044996° = 133°41'57″ = 0.80881041116 rad
∠ B' = β' = 102° = 1.36113568166 rad
∠ C' = γ' = 124.3010955004° = 124°18'3″ = 0.97221317254 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     