# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=792.7843767367 and with side c=113.5244019669

### #1 Obtuse scalene triangle.

Sides: a = 500   b = 400   c = 792.7843767367

Area: T = 83761.22444253
Perimeter: p = 1692.784376737
Semiperimeter: s = 846.3921883684

Angle ∠ A = α = 31.88988308305° = 31°53'20″ = 0.55765650926 rad
Angle ∠ B = β = 25° = 0.4366332313 rad
Angle ∠ C = γ = 123.1111169169° = 123°6'40″ = 2.1498695248 rad

Height: ha = 335.0454897701
Height: hb = 418.8066122126
Height: hc = 211.309913087

Median: ma = 575.9880078562
Median: mb = 631.8654740986
Median: mc = 218.8800078953

Inradius: r = 98.96326980598
Circumradius: R = 473.244031663

Vertex coordinates: A[792.7843767367; 0] B[0; 0] C[453.1543893518; 211.309913087]
Centroid: CG[415.3132553629; 70.43663769568]
Coordinates of the circumscribed circle: U[396.3921883684; -258.5154742006]
Coordinates of the inscribed circle: I[446.3921883684; 98.96326980598]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.1111169169° = 148°6'40″ = 0.55765650926 rad
∠ B' = β' = 155° = 0.4366332313 rad
∠ C' = γ' = 56.88988308305° = 56°53'20″ = 2.1498695248 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 = 500   b = 400   c = 113.5244019669

Area: T = 11994.33109646
Perimeter: p = 1013.524401967
Semiperimeter: s = 506.7622009835

Angle ∠ A = α = 148.1111169169° = 148°6'40″ = 2.5855027561 rad
Angle ∠ B = β = 25° = 0.4366332313 rad
Angle ∠ C = γ = 6.88988308305° = 6°53'20″ = 0.12202327796 rad

Height: ha = 47.97773238584
Height: hb = 59.9721654823
Height: hc = 211.309913087

Median: ma = 154.7388009296
Median: mb = 302.3976844429
Median: mc = 449.1977144069

Inradius: r = 23.66985677534
Circumradius: R = 473.244031663

Vertex coordinates: A[113.5244019669; 0] B[0; 0] C[453.1543893518; 211.309913087]
Centroid: CG[188.8932637729; 70.43663769568]
Coordinates of the circumscribed circle: U[56.76220098346; 469.8243872876]
Coordinates of the inscribed circle: I[106.7622009835; 23.66985677534]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 31.88988308305° = 31°53'20″ = 2.5855027561 rad
∠ B' = β' = 155° = 0.4366332313 rad
∠ C' = γ' = 173.1111169169° = 173°6'40″ = 0.12202327796 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    