# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=98.50882623162 and with side c=66.87876389422

### #1 Obtuse scalene triangle.

Sides: a = 88   b = 34   c = 98.50882623162

Area: T = 1482.443963983
Perimeter: p = 220.5088262316
Semiperimeter: s = 110.2544131158

Angle ∠ A = α = 62.28796667993° = 62°16'47″ = 1.08769852427 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 97.72203332007° = 97°43'13″ = 1.70655415605 rad

Height: ha = 33.69218099961
Height: hb = 87.20223317547
Height: hc = 30.09877726127

Median: ma = 59.11095497553
Median: mb = 91.84219232827
Median: mc = 44.98992271979

Inradius: r = 13.44656607137
Circumradius: R = 49.70546748028

Vertex coordinates: A[98.50882623162; 0] B[0; 0] C[82.69329506292; 30.09877726127]
Centroid: CG[60.44004043151; 10.03325908709]
Coordinates of the circumscribed circle: U[49.25441311581; -6.67772195645]
Coordinates of the inscribed circle: I[76.25441311581; 13.44656607137]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 117.7220333201° = 117°43'13″ = 1.08769852427 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 82.28796667993° = 82°16'47″ = 1.70655415605 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 = 88   b = 34   c = 66.87876389422

Area: T = 1006.434398488
Perimeter: p = 188.8787638942
Semiperimeter: s = 94.43988194711

Angle ∠ A = α = 117.7220333201° = 117°43'13″ = 2.05546074109 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 42.28796667993° = 42°16'47″ = 0.73879193923 rad

Height: ha = 22.87334996563
Height: hb = 59.20219991104
Height: hc = 30.09877726127

Median: ma = 29.63662834249
Median: mb = 76.28443974561
Median: mc = 57.72221391875

Inradius: r = 10.65769945549
Circumradius: R = 49.70546748028

Vertex coordinates: A[66.87876389422; 0] B[0; 0] C[82.69329506292; 30.09877726127]
Centroid: CG[49.85768631904; 10.03325908709]
Coordinates of the circumscribed circle: U[33.43988194711; 36.77549921772]
Coordinates of the inscribed circle: I[60.43988194711; 10.65769945549]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 62.28796667993° = 62°16'47″ = 2.05546074109 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 137.7220333201° = 137°43'13″ = 0.73879193923 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    