# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=28.0543789651 and with side c=2.03215579716

### #1 Obtuse scalene triangle.

Sides: a = 15.73   b = 13.8   c = 28.0543789651

Area: T = 64.51097863024
Perimeter: p = 57.5843789651
Semiperimeter: s = 28.79218948255

Angle ∠ A = α = 19.46768474254° = 19°28'1″ = 0.34397605826 rad
Angle ∠ B = β = 17° = 0.29767059728 rad
Angle ∠ C = γ = 143.5333152575° = 143°31'59″ = 2.50551260982 rad

Height: ha = 8.20221343042
Height: hb = 9.34992443917
Height: hc = 4.59990069153

Median: ma = 20.66108163413
Median: mb = 21.67105792929
Median: mc = 4.7109848358

Inradius: r = 2.24105536938
Circumradius: R = 23.66000949768

Vertex coordinates: A[28.0543789651; 0] B[0; 0] C[15.04326738113; 4.59990069153]
Centroid: CG[14.36554878208; 1.53330023051]
Coordinates of the circumscribed circle: U[14.02768948255; -18.97992176991]
Coordinates of the inscribed circle: I[14.99218948255; 2.24105536938]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.5333152575° = 160°31'59″ = 0.34397605826 rad
∠ B' = β' = 163° = 0.29767059728 rad
∠ C' = γ' = 36.46768474254° = 36°28'1″ = 2.50551260982 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 = 15.73   b = 13.8   c = 2.03215579716

Area: T = 4.67215745802
Perimeter: p = 31.56215579716
Semiperimeter: s = 15.78107789858

Angle ∠ A = α = 160.5333152575° = 160°31'59″ = 2.8021832071 rad
Angle ∠ B = β = 17° = 0.29767059728 rad
Angle ∠ C = γ = 2.46768474254° = 2°28'1″ = 0.04330546097 rad

Height: ha = 0.59439700674
Height: hb = 0.67770397942
Height: hc = 4.59990069153

Median: ma = 5.95219231259
Median: mb = 8.84113835963
Median: mc = 14.76215935133

Inradius: r = 0.29660294029
Circumradius: R = 23.66000949768

Vertex coordinates: A[2.03215579716; 0] B[0; 0] C[15.04326738113; 4.59990069153]
Centroid: CG[5.69114105943; 1.53330023051]
Coordinates of the circumscribed circle: U[1.01657789858; 23.57882246144]
Coordinates of the inscribed circle: I[1.98107789858; 0.29660294029]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 19.46768474254° = 19°28'1″ = 2.8021832071 rad
∠ B' = β' = 163° = 0.29767059728 rad
∠ C' = γ' = 177.5333152575° = 177°31'59″ = 0.04330546097 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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