# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=49.27993187065 and with side c=15.82222560795

### #1 Acute scalene triangle.

Sides: a = 43   b = 32.7   c = 49.27993187065

Area: T = 692.3032627159
Perimeter: p = 124.9799318706
Semiperimeter: s = 62.49896593533

Angle ∠ A = α = 59.23111444849° = 59°13'52″ = 1.0343778491 rad
Angle ∠ B = β = 40.8° = 40°48' = 0.71220943348 rad
Angle ∠ C = γ = 79.96988555151° = 79°58'8″ = 1.39657198278 rad

Height: ha = 32.22001221934
Height: hb = 42.34326683277
Height: hc = 28.09770859716

Median: ma = 35.86994943662
Median: mb = 43.26597171291
Median: mc = 29.19895903869

Inradius: r = 11.07986750052
Circumradius: R = 25.02221678046

Vertex coordinates: A[49.27993187065; 0] B[0; 0] C[32.5510787393; 28.09770859716]
Centroid: CG[27.27767020332; 9.36656953239]
Coordinates of the circumscribed circle: U[24.64396593533; 4.35884479572]
Coordinates of the inscribed circle: I[29.79896593533; 11.07986750052]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120.7698855515° = 120°46'8″ = 1.0343778491 rad
∠ B' = β' = 139.2° = 139°12' = 0.71220943348 rad
∠ C' = γ' = 100.0311144485° = 100°1'52″ = 1.39657198278 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 = 43   b = 32.7   c = 15.82222560795

Area: T = 222.2879644666
Perimeter: p = 91.52222560795
Semiperimeter: s = 45.76111280398

Angle ∠ A = α = 120.7698855515° = 120°46'8″ = 2.10878141626 rad
Angle ∠ B = β = 40.8° = 40°48' = 0.71220943348 rad
Angle ∠ C = γ = 18.43111444849° = 18°25'52″ = 0.32216841562 rad

Height: ha = 10.3398588124
Height: hb = 13.59550853007
Height: hc = 28.09770859716

Median: ma = 14.05658490929
Median: mb = 27.97105093576
Median: mc = 37.37105639928

Inradius: r = 4.85773899768
Circumradius: R = 25.02221678046

Vertex coordinates: A[15.82222560795; 0] B[0; 0] C[32.5510787393; 28.09770859716]
Centroid: CG[16.12443478242; 9.36656953239]
Coordinates of the circumscribed circle: U[7.91111280398; 23.73986380144]
Coordinates of the inscribed circle: I[13.06111280398; 4.85773899768]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 59.23111444849° = 59°13'52″ = 2.10878141626 rad
∠ B' = β' = 139.2° = 139°12' = 0.71220943348 rad
∠ C' = γ' = 161.5698855515° = 161°34'8″ = 0.32216841562 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    