# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=806.783292577 and with side c=379.6454871274

### #1 Acute scalene triangle.

Sides: a = 890   b = 697   c = 806.783292577

Area: T = 267639.6022111
Perimeter: p = 2393.783292577
Semiperimeter: s = 1196.891146289

Angle ∠ A = α = 72.15768784201° = 72°9'25″ = 1.25993751064 rad
Angle ∠ B = β = 48.2° = 48°12' = 0.84112486995 rad
Angle ∠ C = γ = 59.64331215799° = 59°38'35″ = 1.04109688477 rad

Height: ha = 601.4377308115
Height: hb = 767.9765902759
Height: hc = 663.4743639718

Median: ma = 608.5476501639
Median: mb = 774.6277068115
Median: mc = 690.094407161

Inradius: r = 223.6122257595
Circumradius: R = 467.4876545708

Vertex coordinates: A[806.783292577; 0] B[0; 0] C[593.2143898522; 663.4743639718]
Centroid: CG[466.6665608097; 221.1587879906]
Coordinates of the circumscribed circle: U[403.3911462885; 236.2660445461]
Coordinates of the inscribed circle: I[499.8911462885; 223.6122257595]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 107.843312158° = 107°50'35″ = 1.25993751064 rad
∠ B' = β' = 131.8° = 131°48' = 0.84112486995 rad
∠ C' = γ' = 120.357687842° = 120°21'25″ = 1.04109688477 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 = 890   b = 697   c = 379.6454871274

Area: T = 125942.1822272
Perimeter: p = 1966.645487127
Semiperimeter: s = 983.3222435637

Angle ∠ A = α = 107.843312158° = 107°50'35″ = 1.88222175472 rad
Angle ∠ B = β = 48.2° = 48°12' = 0.84112486995 rad
Angle ∠ C = γ = 23.95768784201° = 23°57'25″ = 0.41881264069 rad

Height: ha = 283.0166139937
Height: hb = 361.384359332
Height: hc = 663.4743639718

Median: ma = 341.9721656928
Median: mb = 588.7810828613
Median: mc = 776.4880484577

Inradius: r = 128.0788214945
Circumradius: R = 467.4876545708

Vertex coordinates: A[379.6454871274; 0] B[0; 0] C[593.2143898522; 663.4743639718]
Centroid: CG[324.2866256599; 221.1587879906]
Coordinates of the circumscribed circle: U[189.8222435637; 427.2133194257]
Coordinates of the inscribed circle: I[286.3222435637; 128.0788214945]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 72.15768784201° = 72°9'25″ = 1.88222175472 rad
∠ B' = β' = 131.8° = 131°48' = 0.84112486995 rad
∠ C' = γ' = 156.043312158° = 156°2'35″ = 0.41881264069 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    