# 6 22 25 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 22   c = 25

Area: T = 60.55552433733
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 12.72108322063° = 12°43'15″ = 0.22220204056 rad
Angle ∠ B = β = 53.8432991799° = 53°50'35″ = 0.9439737486 rad
Angle ∠ C = γ = 113.4366175995° = 113°26'10″ = 1.9879834762 rad

Height: ha = 20.18550811244
Height: hb = 5.50550221248
Height: hc = 4.84444194699

Median: ma = 23.35659414283
Median: mb = 14.47441148261
Median: mc = 10.18657743937

Inradius: r = 2.28551035235
Circumradius: R = 13.62439234465

Vertex coordinates: A[25; 0] B[0; 0] C[3.54; 4.84444194699]
Centroid: CG[9.51333333333; 1.615480649]
Coordinates of the circumscribed circle: U[12.5; -5.41986059162]
Coordinates of the inscribed circle: I[4.5; 2.28551035235]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.2799167794° = 167°16'45″ = 0.22220204056 rad
∠ B' = β' = 126.1577008201° = 126°9'25″ = 0.9439737486 rad
∠ C' = γ' = 66.56438240053° = 66°33'50″ = 1.9879834762 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    