# 5 23 25 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 23   c = 25

Area: T = 54.69217498349
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 10.96663338755° = 10°57'59″ = 0.1911398633 rad
Angle ∠ B = β = 61.05330241136° = 61°3'11″ = 1.06655762891 rad
Angle ∠ C = γ = 107.9810642011° = 107°58'50″ = 1.88546177315 rad

Height: ha = 21.87766999339
Height: hb = 4.75658043335
Height: hc = 4.37553399868

Median: ma = 23.89903746308
Median: mb = 13.88334433769
Median: mc = 10.98986304879

Inradius: r = 2.06438396164
Circumradius: R = 13.14218358742

Vertex coordinates: A[25; 0] B[0; 0] C[2.42; 4.37553399868]
Centroid: CG[9.14; 1.45884466623]
Coordinates of the circumscribed circle: U[12.5; -4.05768275959]
Coordinates of the inscribed circle: I[3.5; 2.06438396164]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.0343666124° = 169°2'1″ = 0.1911398633 rad
∠ B' = β' = 118.9476975886° = 118°56'49″ = 1.06655762891 rad
∠ C' = γ' = 72.01993579891° = 72°1'10″ = 1.88546177315 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    