Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=98.43107429352 and with side c=17.27110268083

#1 Acute scalene triangle.

Sides: a = 90   b = 80   c = 98.43107429352

Area: T = 3393.105456459
Perimeter: p = 268.4310742935
Semiperimeter: s = 134.2155371468

Angle ∠ A = α = 59.51992913471° = 59°31'9″ = 1.03988076025 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 70.48107086529° = 70°28'51″ = 1.23301204251 rad

Height: ha = 75.40223236576
Height: hb = 84.82876141148
Height: hc = 68.94439998807

Median: ma = 77.58441838095
Median: mb = 85.40767068642
Median: mc = 69.48327116001

Inradius: r = 25.28110429051
Circumradius: R = 52.21662915733

Vertex coordinates: A[98.43107429352; 0] B[0; 0] C[57.85108848718; 68.94439998807]
Centroid: CG[52.09438759357; 22.98113332936]
Coordinates of the circumscribed circle: U[49.21553714676; 17.44767279732]
Coordinates of the inscribed circle: I[54.21553714676; 25.28110429051]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120.4810708653° = 120°28'51″ = 1.03988076025 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 109.5199291347° = 109°31'9″ = 1.23301204251 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 = 90   b = 80   c = 17.27110268083

Area: T = 595.3676835107
Perimeter: p = 187.2711026808
Semiperimeter: s = 93.63655134042

Angle ∠ A = α = 120.4810708653° = 120°28'51″ = 2.10327850511 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 9.51992913471° = 9°31'9″ = 0.16661429765 rad

Height: ha = 13.23303741135
Height: hb = 14.88441708777
Height: hc = 68.94439998807

Median: ma = 36.3898792004
Median: mb = 50.98218024741
Median: mc = 84.70878975553

Inradius: r = 6.35883443232
Circumradius: R = 52.21662915733

Vertex coordinates: A[17.27110268083; 0] B[0; 0] C[57.85108848718; 68.94439998807]
Centroid: CG[25.04106372267; 22.98113332936]
Coordinates of the circumscribed circle: U[8.63655134042; 51.49772719075]
Coordinates of the inscribed circle: I[13.63655134042; 6.35883443232]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 59.51992913471° = 59°31'9″ = 2.10327850511 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 170.4810708653° = 170°28'51″ = 0.16661429765 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     