# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=65.35223498236 and with side c=3.25992554143

### #1 Obtuse scalene triangle.

Sides: a = 37   b = 34   c = 65.35223498236

Area: T = 452.9066291074
Perimeter: p = 136.3522349824
Semiperimeter: s = 68.17661749118

Angle ∠ A = α = 24.05879314829° = 24°3'29″ = 0.42198901156 rad
Angle ∠ B = β = 22° = 0.38439724354 rad
Angle ∠ C = γ = 133.9422068517° = 133°56'31″ = 2.33877301026 rad

Height: ha = 24.48114211392
Height: hb = 26.64215465338
Height: hc = 13.86604439564

Median: ma = 48.69551210465
Median: mb = 50.309869521
Median: mc = 13.95659160621

Inradius: r = 6.64331754445
Circumradius: R = 45.38109417634

Vertex coordinates: A[65.35223498236; 0] B[0; 0] C[34.3065802619; 13.86604439564]
Centroid: CG[33.21993841475; 4.62201479855]
Coordinates of the circumscribed circle: U[32.67661749118; -31.49112284369]
Coordinates of the inscribed circle: I[34.17661749118; 6.64331754445]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.9422068517° = 155°56'31″ = 0.42198901156 rad
∠ B' = β' = 158° = 0.38439724354 rad
∠ C' = γ' = 46.05879314829° = 46°3'29″ = 2.33877301026 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 = 37   b = 34   c = 3.25992554143

Area: T = 22.58773635047
Perimeter: p = 74.25992554143
Semiperimeter: s = 37.13296277072

Angle ∠ A = α = 155.9422068517° = 155°56'31″ = 2.7221702538 rad
Angle ∠ B = β = 22° = 0.38439724354 rad
Angle ∠ C = γ = 2.05879314829° = 2°3'29″ = 0.03659176802 rad

Height: ha = 1.22109385678
Height: hb = 1.32986684415
Height: hc = 13.86604439564

Median: ma = 15.52661512593
Median: mb = 20.02202740473
Median: mc = 35.49442856462

Inradius: r = 0.60883380012
Circumradius: R = 45.38109417634

Vertex coordinates: A[3.25992554143; 0] B[0; 0] C[34.3065802619; 13.86604439564]
Centroid: CG[12.52216860111; 4.62201479855]
Coordinates of the circumscribed circle: U[1.63296277072; 45.35216723933]
Coordinates of the inscribed circle: I[3.13296277072; 0.60883380012]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 24.05879314829° = 24°3'29″ = 2.7221702538 rad
∠ B' = β' = 158° = 0.38439724354 rad
∠ C' = γ' = 177.9422068517° = 177°56'31″ = 0.03659176802 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    