# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=89.47113304675 and with side c=12.29444410713

### #1 Obtuse scalene triangle.

Sides: a = 60   b = 50   c = 89.47113304675

Area: T = 1422.377744834
Perimeter: p = 199.4711330467
Semiperimeter: s = 99.73656652338

Angle ∠ A = α = 39.4876999201° = 39°29'13″ = 0.68991781478 rad
Angle ∠ B = β = 32° = 0.55985053606 rad
Angle ∠ C = γ = 108.5133000799° = 108°30'47″ = 1.89439091452 rad

Height: ha = 47.41325816113
Height: hb = 56.89550979336
Height: hc = 31.7955155854

Median: ma = 65.97439303651
Median: mb = 71.95552603207
Median: mc = 32.38439505943

Inradius: r = 14.26114725134
Circumradius: R = 47.177699787

Vertex coordinates: A[89.47113304675; 0] B[0; 0] C[50.88328857694; 31.7955155854]
Centroid: CG[46.78547387456; 10.59883852847]
Coordinates of the circumscribed circle: U[44.73656652338; -14.98796323092]
Coordinates of the inscribed circle: I[49.73656652338; 14.26114725134]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.5133000799° = 140°30'47″ = 0.68991781478 rad
∠ B' = β' = 148° = 0.55985053606 rad
∠ C' = γ' = 71.4876999201° = 71°29'13″ = 1.89439091452 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 = 60   b = 50   c = 12.29444410713

Area: T = 195.4521834999
Perimeter: p = 122.2944441071
Semiperimeter: s = 61.14772205356

Angle ∠ A = α = 140.5133000799° = 140°30'47″ = 2.45224145058 rad
Angle ∠ B = β = 32° = 0.55985053606 rad
Angle ∠ C = γ = 7.4876999201° = 7°29'13″ = 0.13106727872 rad

Height: ha = 6.51550611666
Height: hb = 7.81880734
Height: hc = 31.7955155854

Median: ma = 20.63295089769
Median: mb = 35.3633493049
Median: mc = 54.88436194113

Inradius: r = 3.19664140526
Circumradius: R = 47.177699787

Vertex coordinates: A[12.29444410713; 0] B[0; 0] C[50.88328857694; 31.7955155854]
Centroid: CG[21.05991089469; 10.59883852847]
Coordinates of the circumscribed circle: U[6.14772205356; 46.77547881632]
Coordinates of the inscribed circle: I[11.14772205356; 3.19664140526]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 39.4876999201° = 39°29'13″ = 2.45224145058 rad
∠ B' = β' = 148° = 0.55985053606 rad
∠ C' = γ' = 172.5133000799° = 172°30'47″ = 0.13106727872 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    