# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=47.58774152732 and with side c=16.23545442711

### #1 Acute scalene triangle.

Sides: a = 39.1   b = 27.5   c = 47.58774152732

Area: T = 537.6010576973
Perimeter: p = 114.1877415273
Semiperimeter: s = 57.09437076366

Angle ∠ A = α = 55.2466134099° = 55°14'46″ = 0.9644226939 rad
Angle ∠ B = β = 35.3° = 35°18' = 0.6166101226 rad
Angle ∠ C = γ = 89.4543865901° = 89°27'14″ = 1.56112644886 rad

Height: ha = 27.49987507403
Height: hb = 39.09882237798
Height: hc = 22.59442331134

Median: ma = 33.58987413606
Median: mb = 41.32334019194
Median: mc = 24.0088112731

Inradius: r = 9.41661090465
Circumradius: R = 23.79547885773

Vertex coordinates: A[47.58774152732; 0] B[0; 0] C[31.91109797721; 22.59442331134]
Centroid: CG[26.49994650151; 7.53114110378]
Coordinates of the circumscribed circle: U[23.79437076366; 0.22768046399]
Coordinates of the inscribed circle: I[29.59437076366; 9.41661090465]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.7543865901° = 124°45'14″ = 0.9644226939 rad
∠ B' = β' = 144.7° = 144°42' = 0.6166101226 rad
∠ C' = γ' = 90.5466134099° = 90°32'46″ = 1.56112644886 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 = 39.1   b = 27.5   c = 16.23545442711

Area: T = 183.4043538876
Perimeter: p = 82.83545442711
Semiperimeter: s = 41.41772721356

Angle ∠ A = α = 124.7543865901° = 124°45'14″ = 2.17773657146 rad
Angle ∠ B = β = 35.3° = 35°18' = 0.6166101226 rad
Angle ∠ C = γ = 19.9466134099° = 19°56'46″ = 0.34881257131 rad

Height: ha = 9.38112551855
Height: hb = 13.3388439191
Height: hc = 22.59442331134

Median: ma = 11.30105625455
Median: mb = 26.59217790651
Median: mc = 32.81221912264

Inradius: r = 4.42881897242
Circumradius: R = 23.79547885773

Vertex coordinates: A[16.23545442711; 0] B[0; 0] C[31.91109797721; 22.59442331134]
Centroid: CG[16.04985080144; 7.53114110378]
Coordinates of the circumscribed circle: U[8.11772721356; 22.36774284735]
Coordinates of the inscribed circle: I[13.91772721356; 4.42881897242]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 55.2466134099° = 55°14'46″ = 2.17773657146 rad
∠ B' = β' = 144.7° = 144°42' = 0.6166101226 rad
∠ C' = γ' = 160.0543865901° = 160°3'14″ = 0.34881257131 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    