Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=127.7477345809 and with side c=57.38332665842

#1 Acute scalene triangle.

Sides: a = 118   b = 81.2   c = 127.7477345809

Area: T = 4674.42988628
Perimeter: p = 326.9477345809
Semiperimeter: s = 163.4743672905

Angle ∠ A = α = 64.32443340369° = 64°19'28″ = 1.12326714181 rad
Angle ∠ B = β = 38.33° = 38°19'48″ = 0.66989847023 rad
Angle ∠ C = γ = 77.34656659631° = 77°20'44″ = 1.35499365332 rad

Height: ha = 79.22876078441
Height: hb = 115.1343715833
Height: hc = 73.18224028623

Median: ma = 89.30551632363
Median: mb = 116.0754683634
Median: mc = 78.60658134597

Inradius: r = 28.59443833019
Circumradius: R = 65.46438248079

Vertex coordinates: A[127.7477345809; 0] B[0; 0] C[92.56553061968; 73.18224028623]
Centroid: CG[73.43875506687; 24.39441342874]
Coordinates of the circumscribed circle: U[63.87436729047; 14.34110692819]
Coordinates of the inscribed circle: I[82.27436729047; 28.59443833019]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115.6765665963° = 115°40'32″ = 1.12326714181 rad
∠ B' = β' = 141.67° = 141°40'12″ = 0.66989847023 rad
∠ C' = γ' = 102.6544334037° = 102°39'16″ = 1.35499365332 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 = 118   b = 81.2   c = 57.38332665842

Area: T = 2099.723266636
Perimeter: p = 256.5833266584
Semiperimeter: s = 128.2921633292

Angle ∠ A = α = 115.6765665963° = 115°40'32″ = 2.01989212355 rad
Angle ∠ B = β = 38.33° = 38°19'48″ = 0.66989847023 rad
Angle ∠ C = γ = 25.99443340369° = 25°59'40″ = 0.45436867158 rad

Height: ha = 35.58985197688
Height: hb = 51.71773070532
Height: hc = 73.18224028623

Median: ma = 38.2387934593
Median: mb = 83.42769719092
Median: mc = 97.13765542884

Inradius: r = 16.36767934726
Circumradius: R = 65.46438248079

Vertex coordinates: A[57.38332665842; 0] B[0; 0] C[92.56553061968; 73.18224028623]
Centroid: CG[49.98328575936; 24.39441342874]
Coordinates of the circumscribed circle: U[28.69216332921; 58.84113335804]
Coordinates of the inscribed circle: I[47.09216332921; 16.36767934726]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 64.32443340369° = 64°19'28″ = 2.01989212355 rad
∠ B' = β' = 141.67° = 141°40'12″ = 0.66989847023 rad
∠ C' = γ' = 154.0065665963° = 154°20″ = 0.45436867158 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     