Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=534.7977161123 and with side c=263.8388348924

#1 Acute scalene triangle.

Sides: a = 500   b = 330   c = 534.7977161123

Area: T = 80462.24114758
Perimeter: p = 1364.797716112
Semiperimeter: s = 682.3998580562

Angle ∠ A = α = 65.76110090767° = 65°45'40″ = 1.14877461278 rad
Angle ∠ B = β = 37° = 0.64657718232 rad
Angle ∠ C = γ = 77.23989909233° = 77°14'20″ = 1.34880747025 rad

Height: ha = 321.8498965903
Height: hb = 487.6549948338
Height: hc = 300.9087511576

Median: ma = 367.3610860426
Median: mb = 490.6922369793
Median: mc = 328.5544408148

Inradius: r = 117.9110915655
Circumradius: R = 274.1710623285

Vertex coordinates: A[534.7977161123; 0] B[0; 0] C[399.3187755024; 300.9087511576]
Centroid: CG[311.3721638716; 100.3032503859]
Coordinates of the circumscribed circle: U[267.3998580562; 60.56601336376]
Coordinates of the inscribed circle: I[352.3998580562; 117.9110915655]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 114.2398990923° = 114°14'20″ = 1.14877461278 rad
∠ B' = β' = 143° = 0.64657718232 rad
∠ C' = γ' = 102.7611009077° = 102°45'40″ = 1.34880747025 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 = 500   b = 330   c = 263.8388348924

Area: T = 39695.47105165
Perimeter: p = 1093.838834892
Semiperimeter: s = 546.9199174462

Angle ∠ A = α = 114.2398990923° = 114°14'20″ = 1.99438465258 rad
Angle ∠ B = β = 37° = 0.64657718232 rad
Angle ∠ C = γ = 28.76110090767° = 28°45'40″ = 0.50219743046 rad

Height: ha = 158.7821882066
Height: hb = 240.5798609191
Height: hc = 300.9087511576

Median: ma = 163.5710587764
Median: mb = 364.1165829348
Median: mc = 402.5511029572

Inradius: r = 72.58801404852
Circumradius: R = 274.1710623285

Vertex coordinates: A[263.8388348924; 0] B[0; 0] C[399.3187755024; 300.9087511576]
Centroid: CG[221.0522034649; 100.3032503859]
Coordinates of the circumscribed circle: U[131.9199174462; 240.3477377938]
Coordinates of the inscribed circle: I[216.9199174462; 72.58801404852]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 65.76110090767° = 65°45'40″ = 1.99438465258 rad
∠ B' = β' = 143° = 0.64657718232 rad
∠ C' = γ' = 151.2398990923° = 151°14'20″ = 0.50219743046 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     