# Triangle calculator

You have entered side b, c and angle γ.

### Acute scalene triangle.

Sides: a = 88.89224664176   b = 57   c = 78

Area: T = 2194.01993225
Perimeter: p = 223.8922466418
Semiperimeter: s = 111.9466233209

Angle ∠ A = α = 80.73882060879° = 80°44'18″ = 1.40991475284 rad
Angle ∠ B = β = 39.26217939121° = 39°15'42″ = 0.6855247574 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 49.36334480157
Height: hb = 76.98331341227
Height: hc = 56.2576905705

Median: ma = 51.87551612388
Median: mb = 78.61773345573
Median: mc = 63.67444477236

Vertex coordinates: A[78; 0] B[0; 0] C[68.82660934987; 56.2576905705]
Centroid: CG[48.94220311662; 18.75223019017]
Coordinates of the circumscribed circle: U[39; 22.51766604984]
Coordinates of the inscribed circle: I[54.94662332088; 19.59988668811]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 99.26217939121° = 99°15'42″ = 1.40991475284 rad
∠ B' = β' = 140.7388206088° = 140°44'18″ = 0.6855247574 rad
∠ C' = γ' = 120° = 1.04771975512 rad

# How did we calculate this triangle?

### 2. From angle γ, side b and side c we calculate side a - by using the law of cosines and quadratic equation:

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.