# Triangle calculator SSS - result

### Acute scalene triangle.

Sides: a = 29.81   b = 23.76   c = 37.16

Area: T = 353.6811133168
Perimeter: p = 90.73
Semiperimeter: s = 45.365

Angle ∠ A = α = 53.24111038595° = 53°14'28″ = 0.92992325597 rad
Angle ∠ B = β = 39.68547993127° = 39°41'5″ = 0.6932630411 rad
Angle ∠ C = γ = 87.07440968278° = 87°4'27″ = 1.52197296828 rad

Height: ha = 23.72990260428
Height: hb = 29.77111391556
Height: hc = 19.03655830553

Median: ma = 27.39660321032
Median: mb = 31.52216822203
Median: mc = 19.52987083546

Vertex coordinates: A[37.16; 0] B[0; 0] C[22.94108517223; 19.03655830553]
Centroid: CG[20.03436172408; 6.34551943518]
Coordinates of the circumscribed circle: U[18.58; 0.95496438826]
Coordinates of the inscribed circle: I[21.605; 7.79663437268]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.759889614° = 126°45'32″ = 0.92992325597 rad
∠ B' = β' = 140.3155200687° = 140°18'55″ = 0.6932630411 rad
∠ C' = γ' = 92.92659031722° = 92°55'33″ = 1.52197296828 rad

# How did we calculate this triangle? ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines    