# 3 23 25 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 23   c = 25

Area: T = 26.7880356607
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 5.34547967035° = 5°20'41″ = 0.09332843003 rad
Angle ∠ B = β = 45.57329959992° = 45°34'23″ = 0.79553988302 rad
Angle ∠ C = γ = 129.0822207297° = 129°4'56″ = 2.25329095231 rad

Height: ha = 17.85435710714
Height: hb = 2.32987266615
Height: hc = 2.14224285286

Median: ma = 23.97439441895
Median: mb = 13.59222772191
Median: mc = 10.61883802908

Inradius: r = 1.0550210063
Circumradius: R = 16.10332209663

Vertex coordinates: A[25; 0] B[0; 0] C[2.1; 2.14224285286]
Centroid: CG[9.03333333333; 0.71441428429]
Coordinates of the circumscribed circle: U[12.5; -10.15220306092]
Coordinates of the inscribed circle: I[2.5; 1.0550210063]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 174.6555203297° = 174°39'19″ = 0.09332843003 rad
∠ B' = β' = 134.4277004001° = 134°25'37″ = 0.79553988302 rad
∠ C' = γ' = 50.91877927026° = 50°55'4″ = 2.25329095231 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    