# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=163.2888063328 and with side c=11.63658780995

### #1 Obtuse scalene triangle.

Sides: a = 100   b = 90   c = 163.2888063328

Area: T = 3958.181119865
Perimeter: p = 353.2888063328
Semiperimeter: s = 176.6444031664

Angle ∠ A = α = 32.59436460413° = 32°35'37″ = 0.56988664387 rad
Angle ∠ B = β = 29° = 0.50661454831 rad
Angle ∠ C = γ = 118.4066353959° = 118°24'23″ = 2.06765807319 rad

Height: ha = 79.1643623973
Height: hb = 87.96595821922
Height: hc = 48.48109620246

Median: ma = 121.9989736506
Median: mb = 127.697689038
Median: mc = 48.8298803934

Inradius: r = 22.40876701678
Circumradius: R = 92.82199402832

Vertex coordinates: A[163.2888063328; 0] B[0; 0] C[87.46219707139; 48.48109620246]
Centroid: CG[83.58333446808; 16.16603206749]
Coordinates of the circumscribed circle: U[81.64440316642; -44.15664650737]
Coordinates of the inscribed circle: I[86.64440316642; 22.40876701678]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.4066353959° = 147°24'23″ = 0.56988664387 rad
∠ B' = β' = 151° = 0.50661454831 rad
∠ C' = γ' = 61.59436460413° = 61°35'37″ = 2.06765807319 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 = 100   b = 90   c = 11.63658780995

Area: T = 282.0599282134
Perimeter: p = 201.63658781
Semiperimeter: s = 100.818793905

Angle ∠ A = α = 147.4066353959° = 147°24'23″ = 2.57327262149 rad
Angle ∠ B = β = 29° = 0.50661454831 rad
Angle ∠ C = γ = 3.59436460413° = 3°35'37″ = 0.06327209556 rad

Height: ha = 5.64111856427
Height: hb = 6.26879840474
Height: hc = 48.48109620246

Median: ma = 40.22106020538
Median: mb = 55.16106456595
Median: mc = 94.95334179754

Inradius: r = 2.79877092648
Circumradius: R = 92.82199402832

Vertex coordinates: A[11.63658780995; 0] B[0; 0] C[87.46219707139; 48.48109620246]
Centroid: CG[33.03326162712; 16.16603206749]
Coordinates of the circumscribed circle: U[5.81879390498; 92.63774270983]
Coordinates of the inscribed circle: I[10.81879390498; 2.79877092648]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 32.59436460413° = 32°35'37″ = 2.57327262149 rad
∠ B' = β' = 151° = 0.50661454831 rad
∠ C' = γ' = 176.4066353959° = 176°24'23″ = 0.06327209556 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    