Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=61.468776017 and with side c=28.38548784334

#1 Obtuse scalene triangle.

Sides: a = 45.93   b = 19.1   c = 61.468776017

Area: T = 293.4989621489
Perimeter: p = 126.498776017
Semiperimeter: s = 63.2498880085

Angle ∠ A = α = 29.99878661524° = 29°59'52″ = 0.52435615329 rad
Angle ∠ B = β = 12° = 0.20994395102 rad
Angle ∠ C = γ = 138.0022133848° = 138°8″ = 2.40985916104 rad

Height: ha = 12.78798659477
Height: hb = 30.73218975382
Height: hc = 9.54993839593

Median: ma = 39.2965757343
Median: mb = 53.41108857833
Median: mc = 17.1066024229

Inradius: r = 4.64402342792
Circumradius: R = 45.93329629923

Vertex coordinates: A[61.468776017; 0] B[0; 0] C[44.92663193017; 9.54993839593]
Centroid: CG[35.46546931572; 3.18331279864]
Coordinates of the circumscribed circle: U[30.7343880085; -34.13659884019]
Coordinates of the inscribed circle: I[44.1498880085; 4.64402342792]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0022133848° = 150°8″ = 0.52435615329 rad
∠ B' = β' = 168° = 0.20994395102 rad
∠ C' = γ' = 41.99878661524° = 41°59'52″ = 2.40985916104 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 = 45.93   b = 19.1   c = 28.38548784334

Area: T = 135.5299051399
Perimeter: p = 93.41548784334
Semiperimeter: s = 46.70774392167

Angle ∠ A = α = 150.0022133848° = 150°8″ = 2.61880311207 rad
Angle ∠ B = β = 12° = 0.20994395102 rad
Angle ∠ C = γ = 17.99878661524° = 17°59'52″ = 0.31441220227 rad

Height: ha = 5.90215480688
Height: hb = 14.19215237067
Height: hc = 9.54993839593

Median: ma = 7.60768677417
Median: mb = 36.96552622315
Median: mc = 32.18332583664

Inradius: r = 2.90216587865
Circumradius: R = 45.93329629923

Vertex coordinates: A[28.38548784334; 0] B[0; 0] C[44.92663193017; 9.54993839593]
Centroid: CG[24.43770659117; 3.18331279864]
Coordinates of the circumscribed circle: U[14.19224392167; 43.68553723612]
Coordinates of the inscribed circle: I[27.60774392167; 2.90216587865]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 29.99878661524° = 29°59'52″ = 2.61880311207 rad
∠ B' = β' = 168° = 0.20994395102 rad
∠ C' = γ' = 162.0022133848° = 162°8″ = 0.31441220227 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     