# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=93.19771127024 and with side c=70.81876445452

### #1 Acute scalene triangle.

Sides: a = 125   b = 95   c = 93.19771127024

Area: T = 4396.047711285
Perimeter: p = 313.1977112702
Semiperimeter: s = 156.5998556351

Angle ∠ A = α = 83.23656175722° = 83°14'8″ = 1.45327355816 rad
Angle ∠ B = β = 49° = 0.85552113335 rad
Angle ∠ C = γ = 47.76443824278° = 47°45'52″ = 0.83436457385 rad

Height: ha = 70.33767538056
Height: hb = 92.54883602705
Height: hc = 94.33986975278

Median: ma = 70.35498465388
Median: mb = 99.49442255009
Median: mc = 100.765494701

Inradius: r = 28.07220794321
Circumradius: R = 62.93881171841

Vertex coordinates: A[93.19771127024; 0] B[0; 0] C[82.00773786238; 94.33986975278]
Centroid: CG[58.40114971087; 31.44662325093]
Coordinates of the circumscribed circle: U[46.59985563512; 42.30658050468]
Coordinates of the inscribed circle: I[61.59985563512; 28.07220794321]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 96.76443824278° = 96°45'52″ = 1.45327355816 rad
∠ B' = β' = 131° = 0.85552113335 rad
∠ C' = γ' = 132.2365617572° = 132°14'8″ = 0.83436457385 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 = 125   b = 95   c = 70.81876445452

Area: T = 3340.422217419
Perimeter: p = 290.8187644545
Semiperimeter: s = 145.4098822273

Angle ∠ A = α = 96.76443824278° = 96°45'52″ = 1.6898857072 rad
Angle ∠ B = β = 49° = 0.85552113335 rad
Angle ∠ C = γ = 34.23656175722° = 34°14'8″ = 0.59875242481 rad

Height: ha = 53.44767547871
Height: hb = 70.32546773514
Height: hc = 94.33986975278

Median: ma = 55.80216074093
Median: mb = 89.79987716479
Median: mc = 105.2219842735

Inradius: r = 22.97326238201
Circumradius: R = 62.93881171841

Vertex coordinates: A[70.81876445452; 0] B[0; 0] C[82.00773786238; 94.33986975278]
Centroid: CG[50.94216743897; 31.44662325093]
Coordinates of the circumscribed circle: U[35.40988222726; 52.0332892481]
Coordinates of the inscribed circle: I[50.40988222726; 22.97326238201]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 83.23656175722° = 83°14'8″ = 1.6898857072 rad
∠ B' = β' = 131° = 0.85552113335 rad
∠ C' = γ' = 145.7644382428° = 145°45'52″ = 0.59875242481 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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