21 23 25 triangle

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

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?

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. 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    