# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=37.41656605978 and with side c=25.57875251515

### #1 Acute scalene triangle.

Sides: a = 49   b = 38   c = 37.41656605978

Area: T = 702.222044272
Perimeter: p = 124.4165660598
Semiperimeter: s = 62.20878302989

Angle ∠ A = α = 81.03988370467° = 81°2'20″ = 1.41443945285 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 48.96111629533° = 48°57'40″ = 0.85545334991 rad

Height: ha = 28.66220588865
Height: hb = 36.95989706695
Height: hc = 37.53661777128

Median: ma = 28.66655861441
Median: mb = 39.23660271814
Median: mc = 39.65549755454

Inradius: r = 11.28882966557
Circumradius: R = 24.80327384973

Vertex coordinates: A[37.41656605978; 0] B[0; 0] C[31.49765928746; 37.53661777128]
Centroid: CG[22.97107511575; 12.51220592376]
Coordinates of the circumscribed circle: U[18.70878302989; 16.28547450847]
Coordinates of the inscribed circle: I[24.20878302989; 11.28882966557]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 98.96111629533° = 98°57'40″ = 1.41443945285 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 131.0398837047° = 131°2'20″ = 0.85545334991 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 = 49   b = 38   c = 25.57875251515

Area: T = 480.0411264771
Perimeter: p = 112.5787525151
Semiperimeter: s = 56.28987625758

Angle ∠ A = α = 98.96111629533° = 98°57'40″ = 1.72771981251 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 31.03988370467° = 31°2'20″ = 0.54217299025 rad

Height: ha = 19.59435210111
Height: hb = 25.26553297248
Height: hc = 37.53661777128

Median: ma = 21.18661958935
Median: mb = 34.15655983177
Median: mc = 41.9439808676

Inradius: r = 8.52881900473
Circumradius: R = 24.80327384973

Vertex coordinates: A[25.57875251515; 0] B[0; 0] C[31.49765928746; 37.53661777128]
Centroid: CG[19.02547060087; 12.51220592376]
Coordinates of the circumscribed circle: U[12.78987625758; 21.25114326281]
Coordinates of the inscribed circle: I[18.28987625758; 8.52881900473]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 81.03988370467° = 81°2'20″ = 1.72771981251 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 148.9611162953° = 148°57'40″ = 0.54217299025 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    