# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=29.30217716025 and with side c=2.6610931259

### #1 Obtuse scalene triangle.

Sides: a = 18.1   b = 15.8   c = 29.30217716025

Area: T = 124.4954953985
Perimeter: p = 63.20217716025
Semiperimeter: s = 31.60108858013

Angle ∠ A = α = 32.53548405162° = 32°32'5″ = 0.56878400886 rad
Angle ∠ B = β = 28° = 0.48986921906 rad
Angle ∠ C = γ = 119.4655159484° = 119°27'55″ = 2.08550603744 rad

Height: ha = 13.75663485066
Height: hb = 15.75988549348
Height: hc = 8.49774352864

Median: ma = 21.73304949213
Median: mb = 23.03767512797
Median: mc = 8.60109618787

Inradius: r = 3.94396033
Circumradius: R = 16.82774302987

Vertex coordinates: A[29.30217716025; 0] B[0; 0] C[15.98113514307; 8.49774352864]
Centroid: CG[15.09443743444; 2.83224784288]
Coordinates of the circumscribed circle: U[14.65108858013; -8.27773157301]
Coordinates of the inscribed circle: I[15.80108858013; 3.94396033]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.4655159484° = 147°27'55″ = 0.56878400886 rad
∠ B' = β' = 152° = 0.48986921906 rad
∠ C' = γ' = 60.53548405162° = 60°32'5″ = 2.08550603744 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 ### 7. Inradius ### 8. Circumradius ### 9. Calculation of medians ### #2 Obtuse scalene triangle.

Sides: a = 18.1   b = 15.8   c = 2.6610931259

Area: T = 11.30655455873
Perimeter: p = 36.5610931259
Semiperimeter: s = 18.28804656295

Angle ∠ A = α = 147.4655159484° = 147°27'55″ = 2.5743752565 rad
Angle ∠ B = β = 28° = 0.48986921906 rad
Angle ∠ C = γ = 4.53548405162° = 4°32'5″ = 0.07991478981 rad

Height: ha = 1.24992315566
Height: hb = 1.43110817199
Height: hc = 8.49774352864

Median: ma = 6.81659942475
Median: mb = 10.24437921485
Median: mc = 16.93767901684

Inradius: r = 0.61884495415
Circumradius: R = 16.82774302987

Vertex coordinates: A[2.6610931259; 0] B[0; 0] C[15.98113514307; 8.49774352864]
Centroid: CG[6.21440942299; 2.83224784288]
Coordinates of the circumscribed circle: U[1.33304656295; 16.77547510165]
Coordinates of the inscribed circle: I[2.48804656295; 0.61884495415]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 32.53548405162° = 32°32'5″ = 2.5743752565 rad
∠ B' = β' = 152° = 0.48986921906 rad
∠ C' = γ' = 175.4655159484° = 175°27'55″ = 0.07991478981 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 ### 7. Inradius ### 8. Circumradius ### 9. Calculation of medians #### Look also our friend's collection of math examples and problems:

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