Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=21.43296434539 and with side c=2.95503244016

#1 Obtuse scalene triangle.

Sides: a = 12.62   b = 9.8   c = 21.43296434539

Area: T = 34.9987783089
Perimeter: p = 43.85496434539
Semiperimeter: s = 21.9254821727

Angle ∠ A = α = 19.46989242535° = 19°28'8″ = 0.343979683 rad
Angle ∠ B = β = 15° = 0.26217993878 rad
Angle ∠ C = γ = 145.5311075747° = 145°31'52″ = 2.54399964357 rad

Height: ha = 5.54663998556
Height: hb = 7.1422404712
Height: hc = 3.26662963492

Median: ma = 15.42113718353
Median: mb = 16.88989611664
Median: mc = 3.58439636381

Inradius: r = 1.59662630632
Circumradius: R = 18.93221461953

Vertex coordinates: A[21.43296434539; 0] B[0; 0] C[12.19899839278; 3.26662963492]
Centroid: CG[11.20765424606; 1.08987654497]
Coordinates of the circumscribed circle: U[10.7154821727; -15.60882912235]
Coordinates of the inscribed circle: I[12.1254821727; 1.59662630632]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.5311075747° = 160°31'52″ = 0.343979683 rad
∠ B' = β' = 165° = 0.26217993878 rad
∠ C' = γ' = 34.46989242535° = 34°28'8″ = 2.54399964357 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 = 12.62   b = 9.8   c = 2.95503244016

Area: T = 4.8188316911
Perimeter: p = 25.37703244016
Semiperimeter: s = 12.68551622008

Angle ∠ A = α = 160.5311075747° = 160°31'52″ = 2.80217958235 rad
Angle ∠ B = β = 15° = 0.26217993878 rad
Angle ∠ C = γ = 4.46989242535° = 4°28'8″ = 0.07879974422 rad

Height: ha = 0.76436001444
Height: hb = 0.98333299818
Height: hc = 3.26662963492

Median: ma = 3.54334597553
Median: mb = 7.74443144976
Median: mc = 11.20216113341

Inradius: r = 0.38798388097
Circumradius: R = 18.93221461953

Vertex coordinates: A[2.95503244016; 0] B[0; 0] C[12.19899839278; 3.26662963492]
Centroid: CG[5.04767694431; 1.08987654497]
Coordinates of the circumscribed circle: U[1.47551622008; 18.87545875727]
Coordinates of the inscribed circle: I[2.88551622008; 0.38798388097]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 19.46989242535° = 19°28'8″ = 2.80217958235 rad
∠ B' = β' = 165° = 0.26217993878 rad
∠ C' = γ' = 175.5311075747° = 175°31'52″ = 0.07879974422 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     