# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 21   b = 23   c = 25

Area: T = 225.5733020328
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 51.68438655263° = 51°41'2″ = 0.90220536236 rad
Angle ∠ B = β = 59.24109669013° = 59°14'27″ = 1.03439499245 rad
Angle ∠ C = γ = 69.07551675724° = 69°4'31″ = 1.20655891055 rad

Height: ha = 21.48331447932
Height: hb = 19.61550452459
Height: hc = 18.04658416263

Median: ma = 21.60443977005
Median: mb = 20.01987412192
Median: mc = 18.13114643645

Inradius: r = 6.53883484153
Circumradius: R = 13.38325844758

Vertex coordinates: A[25; 0] B[0; 0] C[10.74; 18.04658416263]
Centroid: CG[11.91333333333; 6.01552805421]
Coordinates of the circumscribed circle: U[12.5; 4.77994944556]
Coordinates of the inscribed circle: I[11.5; 6.53883484153]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.3166134474° = 128°18'58″ = 0.90220536236 rad
∠ B' = β' = 120.7599033099° = 120°45'33″ = 1.03439499245 rad
∠ C' = γ' = 110.9254832428° = 110°55'29″ = 1.20655891055 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    