# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=75.98658070397 and with side c=22.74110889918

### #1 Obtuse scalene triangle.

Sides: a = 57   b = 39   c = 75.98658070397

Area: T = 1082.798775032
Perimeter: p = 171.986580704
Semiperimeter: s = 85.99329035198

Angle ∠ A = α = 46.95109201998° = 46°57'3″ = 0.81994481443 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 103.04990798° = 103°2'57″ = 1.79985457337 rad

Height: ha = 37.99329035198
Height: hb = 55.52880897598
Height: hc = 28.5

Median: ma = 53.24663279085
Median: mb = 64.27441894989
Median: mc = 30.68545120889

Inradius: r = 12.59217105481
Circumradius: R = 39

Vertex coordinates: A[75.98658070397; 0] B[0; 0] C[49.36334480157; 28.5]
Centroid: CG[41.78330850185; 9.5]
Coordinates of the circumscribed circle: U[37.99329035198; -8.80656392234]
Coordinates of the inscribed circle: I[46.99329035198; 12.59217105481]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.04990798° = 133°2'57″ = 0.81994481443 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 76.95109201998° = 76°57'3″ = 1.79985457337 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 = 57   b = 39   c = 22.74110889918

Area: T = 324.0610518133
Perimeter: p = 118.7411088992
Semiperimeter: s = 59.37105444959

Angle ∠ A = α = 133.04990798° = 133°2'57″ = 2.32221445093 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 16.95109201998° = 16°57'3″ = 0.29658493687 rad

Height: ha = 11.37105444959
Height: hb = 16.61884881094
Height: hc = 28.5

Median: ma = 14.38215355323
Median: mb = 38.7666332871
Median: mc = 47.49443230067

Inradius: r = 5.45882709471
Circumradius: R = 39

Vertex coordinates: A[22.74110889918; 0] B[0; 0] C[49.36334480157; 28.5]
Centroid: CG[24.03548456692; 9.5]
Coordinates of the circumscribed circle: U[11.37105444959; 37.30656392234]
Coordinates of the inscribed circle: I[20.37105444959; 5.45882709471]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 46.95109201998° = 46°57'3″ = 2.32221445093 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 163.04990798° = 163°2'57″ = 0.29658493687 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    