Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=29.05548409391 and with side c=13.78768109772

#1 Acute scalene triangle.

Sides: a = 26.15   b = 16.83   c = 29.05548409391

Area: T = 217.8977125529
Perimeter: p = 72.03548409391
Semiperimeter: s = 36.01774204696

Angle ∠ A = α = 63.0255387041° = 63°1'31″ = 1.11000005162 rad
Angle ∠ B = β = 35° = 0.61108652382 rad
Angle ∠ C = γ = 81.9754612959° = 81°58'29″ = 1.43107268992 rad

Height: ha = 16.66551721246
Height: hb = 25.89438948936
Height: hc = 14.99990238106

Median: ma = 19.81881915421
Median: mb = 26.3298519062
Median: mc = 16.50772636891

Inradius: r = 6.05497704358
Circumradius: R = 14.67111047852

Vertex coordinates: A[29.05548409391; 0] B[0; 0] C[21.42108259582; 14.99990238106]
Centroid: CG[16.82552222991; 54.9996746035]
Coordinates of the circumscribed circle: U[14.52774204696; 2.0488260266]
Coordinates of the inscribed circle: I[19.18774204696; 6.05497704358]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.9754612959° = 116°58'29″ = 1.11000005162 rad
∠ B' = β' = 145° = 0.61108652382 rad
∠ C' = γ' = 98.0255387041° = 98°1'31″ = 1.43107268992 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 = 26.15   b = 16.83   c = 13.78768109772

Area: T = 103.3944353059
Perimeter: p = 56.76768109772
Semiperimeter: s = 28.38334054886

Angle ∠ A = α = 116.9754612959° = 116°58'29″ = 2.04215921374 rad
Angle ∠ B = β = 35° = 0.61108652382 rad
Angle ∠ C = γ = 28.0255387041° = 28°1'31″ = 0.4899135278 rad

Height: ha = 7.90877899089
Height: hb = 12.28769106428
Height: hc = 14.99990238106

Median: ma = 8.1065979488
Median: mb = 19.13547093905
Median: mc = 20.88110119671

Inradius: r = 3.6432774758
Circumradius: R = 14.67111047852

Vertex coordinates: A[13.78768109772; 0] B[0; 0] C[21.42108259582; 14.99990238106]
Centroid: CG[11.73658789784; 54.9996746035]
Coordinates of the circumscribed circle: U[6.89334054886; 12.95107635445]
Coordinates of the inscribed circle: I[11.55334054886; 3.6432774758]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 63.0255387041° = 63°1'31″ = 2.04215921374 rad
∠ B' = β' = 145° = 0.61108652382 rad
∠ C' = γ' = 151.9754612959° = 151°58'29″ = 0.4899135278 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     