# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=62.59329618281 and with side c=29.33223713462

### #1 Acute scalene triangle.

Sides: a = 60   b = 42   c = 62.59329618281

Area: T = 1207.01994095
Perimeter: p = 164.5932961828
Semiperimeter: s = 82.2966480914

Angle ∠ A = α = 66.67441765214° = 66°40'27″ = 1.16436839064 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 73.32658234786° = 73°19'33″ = 1.28797770464 rad

Height: ha = 40.23439803167
Height: hb = 57.47771147381
Height: hc = 38.56772565812

Median: ma = 44.05660941892
Median: mb = 57.60215575762
Median: mc = 41.26217290282

Inradius: r = 14.66767195984
Circumradius: R = 32.67702003641

Vertex coordinates: A[62.59329618281; 0] B[0; 0] C[45.96326665871; 38.56772565812]
Centroid: CG[36.18552094717; 12.85657521937]
Coordinates of the circumscribed circle: U[31.2966480914; 9.3744021241]
Coordinates of the inscribed circle: I[40.2966480914; 14.66767195984]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 113.3265823479° = 113°19'33″ = 1.16436839064 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 106.6744176521° = 106°40'27″ = 1.28797770464 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 Obtuse scalene triangle.

Sides: a = 60   b = 42   c = 29.33223713462

Area: T = 565.6354545922
Perimeter: p = 131.3322371346
Semiperimeter: s = 65.66661856731

Angle ∠ A = α = 113.3265823479° = 113°19'33″ = 1.97879087472 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 26.67441765214° = 26°40'27″ = 0.46655522056 rad

Height: ha = 18.85444848641
Height: hb = 26.93549783772
Height: hc = 38.56772565812

Median: ma = 20.3032561523
Median: mb = 42.2998865285
Median: mc = 49.66879272549

Inradius: r = 8.61437871436
Circumradius: R = 32.67702003641

Vertex coordinates: A[29.33223713462; 0] B[0; 0] C[45.96326665871; 38.56772565812]
Centroid: CG[25.09883459778; 12.85657521937]
Coordinates of the circumscribed circle: U[14.66661856731; 29.19332353402]
Coordinates of the inscribed circle: I[23.66661856731; 8.61437871436]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 66.67441765214° = 66°40'27″ = 1.97879087472 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 153.3265823479° = 153°19'33″ = 0.46655522056 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.

### 9. Calculation of medians

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