# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=60.8211191124 and with side c=42.02548264259

### #1 Acute scalene triangle.

Sides: a = 80   b = 62   c = 60.8211191124

Area: T = 1863.669941938
Perimeter: p = 202.8211191124
Semiperimeter: s = 101.4110595562

Angle ∠ A = α = 81.28112911402° = 81°16'53″ = 1.41986261507 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 48.71987088598° = 48°43'7″ = 0.85503018769 rad

Height: ha = 46.59217354844
Height: hb = 60.1188368367
Height: hc = 61.28435554495

Median: ma = 46.60105219377
Median: mb = 63.94222289639
Median: mc = 64.7865767554

Inradius: r = 18.3777462523
Circumradius: R = 40.46876259693

Vertex coordinates: A[60.8211191124; 0] B[0; 0] C[51.42330087749; 61.28435554495]
Centroid: CG[37.41547332996; 20.42878518165]
Coordinates of the circumscribed circle: U[30.4110595562; 26.69987720534]
Coordinates of the inscribed circle: I[39.4110595562; 18.3777462523]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 98.71987088598° = 98°43'7″ = 1.41986261507 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 131.281129114° = 131°16'53″ = 0.85503018769 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 = 80   b = 62   c = 42.02548264259

Area: T = 1287.715539026
Perimeter: p = 184.0254826426
Semiperimeter: s = 92.01224132129

Angle ∠ A = α = 98.71987088598° = 98°43'7″ = 1.72329665029 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 31.28112911402° = 31°16'53″ = 0.54659615247 rad

Height: ha = 32.19328847566
Height: hb = 41.53992061375
Height: hc = 61.28435554495

Median: ma = 34.71437295326
Median: mb = 55.87552451275
Median: mc = 68.41440226194

Inradius: r = 13.99550181209
Circumradius: R = 40.46876259693

Vertex coordinates: A[42.02548264259; 0] B[0; 0] C[51.42330087749; 61.28435554495]
Centroid: CG[31.14992784003; 20.42878518165]
Coordinates of the circumscribed circle: U[21.01224132129; 34.58547833962]
Coordinates of the inscribed circle: I[30.01224132129; 13.99550181209]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 81.28112911402° = 81°16'53″ = 1.72329665029 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 148.719870886° = 148°43'7″ = 0.54659615247 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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