Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=29.51772945206 and with side c=9.079916543

#1 Obtuse scalene triangle.

Sides: a = 20.18   b = 11.8   c = 29.51772945206

Area: T = 87.07769191326
Perimeter: p = 61.49772945206
Semiperimeter: s = 30.74986472603

Angle ∠ A = α = 300.0003420187° = 30°1″ = 0.5243604745 rad
Angle ∠ B = β = 17° = 0.29767059728 rad
Angle ∠ C = γ = 1332.999657981° = 132°59'59″ = 2.32112819358 rad

Height: ha = 8.63300217178
Height: hb = 14.7598799853
Height: hc = 5.99000610013

Median: ma = 20.08659960646
Median: mb = 24.58553927752
Median: mc = 7.44443623666

Inradius: r = 2.83218943073
Circumradius: R = 20.1879791357

Vertex coordinates: A[29.51772945206; 0] B[0; 0] C[19.29882299753; 5.99000610013]
Centroid: CG[16.27218414987; 1.96766870004]
Coordinates of the circumscribed circle: U[14.75986472603; -13.76224965126]
Coordinates of the inscribed circle: I[18.94986472603; 2.83218943073]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 1509.999657981° = 149°59'59″ = 0.5243604745 rad
∠ B' = β' = 163° = 0.29767059728 rad
∠ C' = γ' = 477.0003420187° = 47°1″ = 2.32112819358 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 = 20.18   b = 11.8   c = 9.079916543

Area: T = 26.78438149391
Perimeter: p = 41.059916543
Semiperimeter: s = 20.5329582715

Angle ∠ A = α = 1509.999657981° = 149°59'59″ = 2.61879879086 rad
Angle ∠ B = β = 17° = 0.29767059728 rad
Angle ∠ C = γ = 133.0003420187° = 13°1″ = 0.22768987721 rad

Height: ha = 2.65444910742
Height: hb = 4.54396296507
Height: hc = 5.99000610013

Median: ma = 3.0054583574
Median: mb = 14.49221296728
Median: mc = 15.89442879291

Inradius: r = 1.30546448781
Circumradius: R = 20.1879791357

Vertex coordinates: A[9.079916543; 0] B[0; 0] C[19.29882299753; 5.99000610013]
Centroid: CG[9.45991318018; 1.96766870004]
Coordinates of the circumscribed circle: U[4.5439582715; 19.66325575139]
Coordinates of the inscribed circle: I[8.7329582715; 1.30546448781]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 300.0003420187° = 30°1″ = 2.61879879086 rad
∠ B' = β' = 163° = 0.29767059728 rad
∠ C' = γ' = 1676.999657981° = 166°59'59″ = 0.22768987721 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     