# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=74.98797353557 and with side c=4.69546017925

### #1 Obtuse scalene triangle.

Sides: a = 46   b = 42   c = 74.98797353557

Area: T = 862.267695659
Perimeter: p = 162.9879735356
Semiperimeter: s = 81.49898676778

Angle ∠ A = α = 33.204382253° = 33°12'14″ = 0.58795160274 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 116.796617747° = 116°47'46″ = 2.03884778506 rad

Height: ha = 37.49898676778
Height: hb = 41.06603312662
Height: hc = 23

Median: ma = 56.24992698353
Median: mb = 58.5498956925
Median: mc = 23.11994684519

Inradius: r = 10.58112781535
Circumradius: R = 42

Vertex coordinates: A[74.98797353557; 0] B[0; 0] C[39.83771685741; 23]
Centroid: CG[38.27223013099; 7.66766666667]
Coordinates of the circumscribed circle: U[37.49898676778; -18.93443555871]
Coordinates of the inscribed circle: I[39.49898676778; 10.58112781535]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.796617747° = 146°47'46″ = 0.58795160274 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 63.204382253° = 63°12'14″ = 2.03884778506 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 = 46   b = 42   c = 4.69546017925

Area: T = 53.98879206134
Perimeter: p = 92.69546017925
Semiperimeter: s = 46.34773008962

Angle ∠ A = α = 146.796617747° = 146°47'46″ = 2.56220766262 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 3.204382253° = 3°12'14″ = 0.05659172518 rad

Height: ha = 2.34773008962
Height: hb = 2.57108533625
Height: hc = 23

Median: ma = 19.07992988077
Median: mb = 25.06603200896
Median: mc = 43.98328395912

Inradius: r = 1.16548557644
Circumradius: R = 42

Vertex coordinates: A[4.69546017925; 0] B[0; 0] C[39.83771685741; 23]
Centroid: CG[14.84439234555; 7.66766666667]
Coordinates of the circumscribed circle: U[2.34773008962; 41.93443555871]
Coordinates of the inscribed circle: I[4.34773008962; 1.16548557644]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 33.204382253° = 33°12'14″ = 2.56220766262 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 176.796617747° = 176°47'46″ = 0.05659172518 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    