# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=109.4622163636 and with side c=48.41985569148

### #1 Acute scalene triangle.

Sides: a = 270   b = 260   c = 109.4622163636

Area: T = 14131.69903372
Perimeter: p = 639.4622163636
Semiperimeter: s = 319.7311081818

Angle ∠ A = α = 83.25884146181° = 83°15'30″ = 1.45331334651 rad
Angle ∠ B = β = 73° = 1.2744090354 rad
Angle ∠ C = γ = 23.74215853819° = 23°44'30″ = 0.41443688346 rad

Height: ha = 104.6799187683
Height: hb = 108.7055310286
Height: hc = 258.202228411

Median: ma = 146.8543609536
Median: mb = 159.8155464314
Median: mc = 259.335474253

Inradius: r = 44.19986755145
Circumradius: R = 135.9439928343

Vertex coordinates: A[109.4622163636; 0] B[0; 0] C[78.94403602751; 258.202228411]
Centroid: CG[62.80108413035; 86.06774280367]
Coordinates of the circumscribed circle: U[54.73110818178; 124.4355416185]
Coordinates of the inscribed circle: I[59.73110818178; 44.19986755145]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 96.74215853819° = 96°44'30″ = 1.45331334651 rad
∠ B' = β' = 107° = 1.2744090354 rad
∠ C' = γ' = 156.2588414618° = 156°15'30″ = 0.41443688346 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 = 270   b = 260   c = 48.41985569148

Area: T = 6250.891099435
Perimeter: p = 578.4198556915
Semiperimeter: s = 289.2099278457

Angle ∠ A = α = 96.74215853819° = 96°44'30″ = 1.68884591885 rad
Angle ∠ B = β = 73° = 1.2744090354 rad
Angle ∠ C = γ = 10.25884146181° = 10°15'30″ = 0.17990431111 rad

Height: ha = 46.30328962545
Height: hb = 48.08437768796
Height: hc = 258.202228411

Median: ma = 129.4110889522
Median: mb = 143.9522000079
Median: mc = 263.9399218072

Inradius: r = 21.61437290881
Circumradius: R = 135.9439928343

Vertex coordinates: A[48.41985569148; 0] B[0; 0] C[78.94403602751; 258.202228411]
Centroid: CG[42.45329723966; 86.06774280367]
Coordinates of the circumscribed circle: U[24.20992784574; 133.7676867925]
Coordinates of the inscribed circle: I[29.20992784574; 21.61437290881]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 83.25884146181° = 83°15'30″ = 1.68884591885 rad
∠ B' = β' = 107° = 1.2744090354 rad
∠ C' = γ' = 169.7421585382° = 169°44'30″ = 0.17990431111 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    