13 14 25 triangle

Obtuse scalene triangle.

Sides: a = 13   b = 14   c = 25

Area: T = 63.68767333124
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 21.34113905316° = 21°20'29″ = 0.37224775317 rad
Angle ∠ B = β = 23.07439180656° = 23°4'26″ = 0.40327158416 rad
Angle ∠ C = γ = 135.5854691403° = 135°35'5″ = 2.36663992803 rad

Height: ha = 9.79879589711
Height: hb = 9.09881047589
Height: hc = 5.0954938665

Median: ma = 19.19898410624
Median: mb = 18.65547581062
Median: mc = 5.1233475383

Vertex coordinates: A[25; 0] B[0; 0] C[11.96; 5.0954938665]
Centroid: CG[12.32; 1.69883128883]
Coordinates of the circumscribed circle: U[12.5; -12.7587759077]
Coordinates of the inscribed circle: I[12; 2.44994897428]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.6598609468° = 158°39'31″ = 0.37224775317 rad
∠ B' = β' = 156.9266081934° = 156°55'34″ = 0.40327158416 rad
∠ C' = γ' = 44.41553085972° = 44°24'55″ = 2.36663992803 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    