# 14 25 27 triangle

### Acute scalene triangle.

Sides: a = 14   b = 25   c = 27

Area: T = 173.4821987538
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 30.93220199068° = 30°55'55″ = 0.54398655917 rad
Angle ∠ B = β = 66.62201318843° = 66°37'12″ = 1.16327406495 rad
Angle ∠ C = γ = 82.44878482089° = 82°26'52″ = 1.43989864124 rad

Height: ha = 24.78331410768
Height: hb = 13.8798559003
Height: hc = 12.85105175954

Median: ma = 25.06599281723
Median: mb = 17.5
Median: mc = 15.10879449297

Inradius: r = 5.25770299254
Circumradius: R = 13.61881285074

Vertex coordinates: A[27; 0] B[0; 0] C[5.55655555556; 12.85105175954]
Centroid: CG[10.85218518519; 4.28435058651]
Coordinates of the circumscribed circle: U[13.5; 1.79898111753]
Coordinates of the inscribed circle: I[8; 5.25770299254]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.0687980093° = 149°4'5″ = 0.54398655917 rad
∠ B' = β' = 113.3879868116° = 113°22'48″ = 1.16327406495 rad
∠ C' = γ' = 97.55221517911° = 97°33'8″ = 1.43989864124 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    