# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=6.36992024538 and with side c=1.4444450866

### #1 Acute scalene triangle.

Sides: a = 5.1   b = 4.1   c = 6.36992024538

Area: T = 10.44398132733
Perimeter: p = 15.56992024538
Semiperimeter: s = 7.78546012269

Angle ∠ A = α = 53.08985901677° = 53°5'19″ = 0.92765706937 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 86.91114098323° = 86°54'41″ = 1.51768902591 rad

Height: ha = 4.09440444209
Height: hb = 5.09325918407
Height: hc = 3.27882168094

Median: ma = 4.71101878889
Median: mb = 5.39331317385
Median: mc = 3.35768310987

Inradius: r = 1.34110851717
Circumradius: R = 3.18992338451

Vertex coordinates: A[6.36992024538; 0] B[0; 0] C[3.90768266599; 3.27882168094]
Centroid: CG[3.42553430379; 1.09327389365]
Coordinates of the circumscribed circle: U[3.18546012269; 0.17218358053]
Coordinates of the inscribed circle: I[3.68546012269; 1.34110851717]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.9111409832° = 126°54'41″ = 0.92765706937 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 93.08985901677° = 93°5'19″ = 1.51768902591 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 = 5.1   b = 4.1   c = 1.4444450866

Area: T = 2.36876115546
Perimeter: p = 10.6444450866
Semiperimeter: s = 5.3222225433

Angle ∠ A = α = 126.9111409832° = 126°54'41″ = 2.21550219599 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 13.08985901677° = 13°5'19″ = 0.22884389929 rad

Height: ha = 0.92884751194
Height: hb = 1.15549324657
Height: hc = 3.27882168094

Median: ma = 1.71663097483
Median: mb = 3.13877888954
Median: mc = 4.57703818685

Inradius: r = 0.44548536772
Circumradius: R = 3.18992338451

Vertex coordinates: A[1.4444450866; 0] B[0; 0] C[3.90768266599; 3.27882168094]
Centroid: CG[1.78437591753; 1.09327389365]
Coordinates of the circumscribed circle: U[0.7222225433; 3.10663810041]
Coordinates of the inscribed circle: I[1.2222225433; 0.44548536772]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 53.08985901677° = 53°5'19″ = 2.21550219599 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 166.9111409832° = 166°54'41″ = 0.22884389929 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    