# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=50.95440389941 and with side c=2.66990720242

### #1 Obtuse scalene triangle.

Sides: a = 35   b = 33   c = 50.95440389941

Area: T = 573.1710936256
Perimeter: p = 118.9544038994
Semiperimeter: s = 59.47770194971

Angle ∠ A = α = 42.98801101602° = 42°58'48″ = 0.75501444352 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 97.02198898398° = 97°1'12″ = 1.69333165176 rad

Height: ha = 32.75326249289
Height: hb = 34.73876325003
Height: hc = 22.4987566339

Median: ma = 39.19770285214
Median: mb = 40.47772410733
Median: mc = 22.53771133366

Inradius: r = 9.6376846989
Circumradius: R = 25.66994431432

Vertex coordinates: A[50.95440389941; 0] B[0; 0] C[26.81215555092; 22.4987566339]
Centroid: CG[25.92218648344; 7.49991887797]
Coordinates of the circumscribed circle: U[25.47770194971; -3.13771625442]
Coordinates of the inscribed circle: I[26.47770194971; 9.6376846989]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.021988984° = 137°1'12″ = 0.75501444352 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 82.98801101602° = 82°58'48″ = 1.69333165176 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 = 35   b = 33   c = 2.66990720242

Area: T = 30.02438124642
Perimeter: p = 70.66990720242
Semiperimeter: s = 35.33545360121

Angle ∠ A = α = 137.021988984° = 137°1'12″ = 2.39114482184 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 2.98801101602° = 2°58'48″ = 0.05220127344 rad

Height: ha = 1.71656464265
Height: hb = 1.82196249978
Height: hc = 22.4987566339

Median: ma = 15.55503045866
Median: mb = 18.54221674228
Median: mc = 33.98985129659

Inradius: r = 0.85497016192
Circumradius: R = 25.66994431432

Vertex coordinates: A[2.66990720242; 0] B[0; 0] C[26.81215555092; 22.4987566339]
Centroid: CG[9.82768758445; 7.49991887797]
Coordinates of the circumscribed circle: U[1.33545360121; 25.63547288832]
Coordinates of the inscribed circle: I[2.33545360121; 0.85497016192]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 42.98801101602° = 42°58'48″ = 2.39114482184 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 177.021988984° = 177°1'12″ = 0.05220127344 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    