# 5 24 25 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 24   c = 25

Area: T = 59.69992462264
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 11.47883409545° = 11°28'42″ = 0.22003348423 rad
Angle ∠ B = β = 72.78224885682° = 72°46'57″ = 1.27702940633 rad
Angle ∠ C = γ = 95.73991704773° = 95°44'21″ = 1.6710963748 rad

Height: ha = 23.88796984906
Height: hb = 4.97549371855
Height: hc = 4.77659396981

Median: ma = 24.37772434865
Median: mb = 13.45436240471
Median: mc = 12.01104121495

Inradius: r = 2.21110831936
Circumradius: R = 12.56329726907

Vertex coordinates: A[25; 0] B[0; 0] C[1.48; 4.77659396981]
Centroid: CG[8.82766666667; 1.59219798994]
Coordinates of the circumscribed circle: U[12.5; -1.25662972691]
Coordinates of the inscribed circle: I[3; 2.21110831936]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.5221659045° = 168°31'18″ = 0.22003348423 rad
∠ B' = β' = 107.2187511432° = 107°13'3″ = 1.27702940633 rad
∠ C' = γ' = 84.26108295227° = 84°15'39″ = 1.6710963748 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    