# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=26.29216650122 and with side c=7.6455008405

### #1 Acute scalene triangle.

Sides: a = 35   b = 32   c = 26.29216650122

Area: T = 402.4166146181
Perimeter: p = 93.29216650122
Semiperimeter: s = 46.64658325061

Angle ∠ A = α = 73.06109640073° = 73°3'39″ = 1.27551543766 rad
Angle ∠ B = β = 61° = 1.06546508437 rad
Angle ∠ C = γ = 45.93990359927° = 45°56'21″ = 0.80217874333 rad

Height: ha = 22.99552083532
Height: hb = 25.15110091363
Height: hc = 30.61216897499

Median: ma = 23.48113931562
Median: mb = 26.49876569636
Median: mc = 30.84994260517

Inradius: r = 8.62770546491
Circumradius: R = 18.2943665086

Vertex coordinates: A[26.29216650122; 0] B[0; 0] C[16.96883367086; 30.61216897499]
Centroid: CG[14.42200005736; 10.20438965833]
Coordinates of the circumscribed circle: U[13.14658325061; 12.72218422408]
Coordinates of the inscribed circle: I[14.64658325061; 8.62770546491]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 106.9399035993° = 106°56'21″ = 1.27551543766 rad
∠ B' = β' = 119° = 1.06546508437 rad
∠ C' = γ' = 134.0610964007° = 134°3'39″ = 0.80217874333 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 = 32   c = 7.6455008405

Area: T = 117.0133312715
Perimeter: p = 74.6455008405
Semiperimeter: s = 37.32325042025

Angle ∠ A = α = 106.9399035993° = 106°56'21″ = 1.8666438277 rad
Angle ∠ B = β = 61° = 1.06546508437 rad
Angle ∠ C = γ = 12.06109640073° = 12°3'39″ = 0.21105035329 rad

Height: ha = 6.68664750123
Height: hb = 7.31333320447
Height: hc = 30.61216897499

Median: ma = 15.32988315522
Median: mb = 19.64398339289
Median: mc = 33.3154988543

Inradius: r = 3.13551945754
Circumradius: R = 18.2943665086

Vertex coordinates: A[7.6455008405; 0] B[0; 0] C[16.96883367086; 30.61216897499]
Centroid: CG[8.20444483712; 10.20438965833]
Coordinates of the circumscribed circle: U[3.82325042025; 17.89898475091]
Coordinates of the inscribed circle: I[5.32325042025; 3.13551945754]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 73.06109640073° = 73°3'39″ = 1.8666438277 rad
∠ B' = β' = 119° = 1.06546508437 rad
∠ C' = γ' = 167.9399035993° = 167°56'21″ = 0.21105035329 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    