# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=25.4111158487 and with side c=9.30442157098

### #1 Obtuse scalene triangle.

Sides: a = 17.97   b = 9.3   c = 25.4111158487

Area: T = 59.09333725943
Perimeter: p = 52.6811158487
Semiperimeter: s = 26.34105792435

Angle ∠ A = α = 30.00769593698° = 30°25″ = 0.52437202395 rad
Angle ∠ B = β = 15° = 0.26217993878 rad
Angle ∠ C = γ = 134.993304063° = 134°59'35″ = 2.35660730263 rad

Height: ha = 6.57768917745
Height: hb = 12.70882521708
Height: hc = 4.65109782405

Median: ma = 16.89331424793
Median: mb = 21.51104959921
Median: mc = 6.57882753125

Inradius: r = 2.24334348177
Circumradius: R = 17.9666220369

Vertex coordinates: A[25.4111158487; 0] B[0; 0] C[17.35876870984; 4.65109782405]
Centroid: CG[14.25662818618; 1.55503260802]
Coordinates of the circumscribed circle: U[12.70655792435; -12.70224930795]
Coordinates of the inscribed circle: I[17.04105792435; 2.24334348177]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.993304063° = 149°59'35″ = 0.52437202395 rad
∠ B' = β' = 165° = 0.26217993878 rad
∠ C' = γ' = 45.00769593698° = 45°25″ = 2.35660730263 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 = 17.97   b = 9.3   c = 9.30442157098

Area: T = 21.63768524057
Perimeter: p = 36.57442157098
Semiperimeter: s = 18.28771078549

Angle ∠ A = α = 149.993304063° = 149°59'35″ = 2.61878724141 rad
Angle ∠ B = β = 15° = 0.26217993878 rad
Angle ∠ C = γ = 15.00769593698° = 15°25″ = 0.26219208517 rad

Height: ha = 2.40881082255
Height: hb = 4.65330865389
Height: hc = 4.65109782405

Median: ma = 2.40881092142
Median: mb = 13.5322263853
Median: mc = 13.53300902623

Inradius: r = 1.18331751952
Circumradius: R = 17.9666220369

Vertex coordinates: A[9.30442157098; 0] B[0; 0] C[17.35876870984; 4.65109782405]
Centroid: CG[8.88773009361; 1.55503260802]
Coordinates of the circumscribed circle: U[4.65221078549; 17.353347132]
Coordinates of the inscribed circle: I[8.98771078549; 1.18331751952]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 30.00769593698° = 30°25″ = 2.61878724141 rad
∠ B' = β' = 165° = 0.26217993878 rad
∠ C' = γ' = 164.993304063° = 164°59'35″ = 0.26219208517 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    