# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=271.251072158 and with side c=39.3554734018

### #1 Obtuse scalene triangle.

Sides: a = 170   b = 135   c = 271.251072158

Area: T = 9377.847667384
Perimeter: p = 576.251072158
Semiperimeter: s = 288.125536079

Angle ∠ A = α = 30.81096070765° = 30°48'35″ = 0.53877290847 rad
Angle ∠ B = β = 24° = 0.41988790205 rad
Angle ∠ C = γ = 125.1990392923° = 125°11'25″ = 2.18549845484 rad

Height: ha = 110.3287607927
Height: hb = 138.9311061835
Height: hc = 69.14552293229

Median: ma = 196.6622088311
Median: mb = 216.061070207
Median: mc = 71.89106218538

Inradius: r = 32.54878001941
Circumradius: R = 165.9555050151

Vertex coordinates: A[271.251072158; 0] B[0; 0] C[155.3032727799; 69.14552293229]
Centroid: CG[142.1844483127; 23.04884097743]
Coordinates of the circumscribed circle: U[135.625536079; -95.63991142851]
Coordinates of the inscribed circle: I[153.125536079; 32.54878001941]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.1990392923° = 149°11'25″ = 0.53877290847 rad
∠ B' = β' = 156° = 0.41988790205 rad
∠ C' = γ' = 54.81096070765° = 54°48'35″ = 2.18549845484 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 = 170   b = 135   c = 39.3554734018

Area: T = 1360.596605431
Perimeter: p = 344.3554734018
Semiperimeter: s = 172.1777367009

Angle ∠ A = α = 149.1990392923° = 149°11'25″ = 2.60438635689 rad
Angle ∠ B = β = 24° = 0.41988790205 rad
Angle ∠ C = γ = 6.81096070765° = 6°48'35″ = 0.11988500643 rad

Height: ha = 16.00770124036
Height: hb = 20.15769785824
Height: hc = 69.14552293229

Median: ma = 51.59435804613
Median: mb = 103.2876724921
Median: mc = 152.2344362834

Inradius: r = 7.90222933034
Circumradius: R = 165.9555050151

Vertex coordinates: A[39.3554734018; 0] B[0; 0] C[155.3032727799; 69.14552293229]
Centroid: CG[64.88658206058; 23.04884097743]
Coordinates of the circumscribed circle: U[19.6777367009; 164.7844343608]
Coordinates of the inscribed circle: I[37.1777367009; 7.90222933034]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 30.81096070765° = 30°48'35″ = 2.60438635689 rad
∠ B' = β' = 156° = 0.41988790205 rad
∠ C' = γ' = 173.1990392923° = 173°11'25″ = 0.11988500643 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    