Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=232.55501256 and with side c=14.99546167133

#1 Obtuse scalene triangle.

Sides: a = 164   b = 153   c = 232.55501256

Area: T = 12510.46219866
Perimeter: p = 549.55501256
Semiperimeter: s = 274.77550628

Angle ∠ A = α = 44.68664570052° = 44°41'11″ = 0.78799258058 rad
Angle ∠ B = β = 41° = 0.71655849933 rad
Angle ∠ C = γ = 94.31435429948° = 94°18'49″ = 1.64660818545 rad

Height: ha = 152.5676609593
Height: hb = 163.5355450805
Height: hc = 107.5943680754

Median: ma = 178.9422114825
Median: mb = 186.1066234335
Median: mc = 107.8554576958

Inradius: r = 45.53298303242
Circumradius: R = 116.6055361133

Vertex coordinates: A[232.55501256; 0] B[0; 0] C[123.7722371157; 107.5943680754]
Centroid: CG[118.7744165585; 35.86545602515]
Coordinates of the circumscribed circle: U[116.27550628; -8.77704056827]
Coordinates of the inscribed circle: I[121.77550628; 45.53298303242]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.3143542995° = 135°18'49″ = 0.78799258058 rad
∠ B' = β' = 139° = 0.71655849933 rad
∠ C' = γ' = 85.68664570052° = 85°41'11″ = 1.64660818545 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    9. Calculation of medians #2 Obtuse scalene triangle.

Sides: a = 164   b = 153   c = 14.99546167133

Area: T = 806.6633001843
Perimeter: p = 331.9954616713
Semiperimeter: s = 165.9977308357

Angle ∠ A = α = 135.3143542995° = 135°18'49″ = 2.36216668478 rad
Angle ∠ B = β = 41° = 0.71655849933 rad
Angle ∠ C = γ = 3.68664570052° = 3°41'11″ = 0.06443408125 rad

Height: ha = 9.8377353681
Height: hb = 10.54546144032
Height: hc = 107.5943680754

Median: ma = 71.36546920065
Median: mb = 87.79661802426
Median: mc = 158.4188087248

Inradius: r = 4.85994944691
Circumradius: R = 116.6055361133

Vertex coordinates: A[14.99546167133; 0] B[0; 0] C[123.7722371157; 107.5943680754]
Centroid: CG[46.25656626233; 35.86545602515]
Coordinates of the circumscribed circle: U[7.49773083567; 116.3644086437]
Coordinates of the inscribed circle: I[12.99773083567; 4.85994944691]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 44.68664570052° = 44°41'11″ = 2.36216668478 rad
∠ B' = β' = 139° = 0.71655849933 rad
∠ C' = γ' = 176.3143542995° = 176°18'49″ = 0.06443408125 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     