# 3 25 27 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 25   c = 27

Area: T = 29.02204669156
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 4.93327588085° = 4°55'58″ = 0.08660928824 rad
Angle ∠ B = β = 45.77107609523° = 45°46'15″ = 0.79988504798 rad
Angle ∠ C = γ = 129.2966480239° = 129°17'47″ = 2.25766492914 rad

Height: ha = 19.34769779437
Height: hb = 2.32216373532
Height: hc = 2.1549664216

Median: ma = 25.97659504157
Median: mb = 14.58659521458
Median: mc = 11.60881867662

Inradius: r = 1.0555289706
Circumradius: R = 17.44545849363

Vertex coordinates: A[27; 0] B[0; 0] C[2.09325925926; 2.1549664216]
Centroid: CG[9.69875308642; 0.71765547387]
Coordinates of the circumscribed circle: U[13.5; -11.04882371263]
Coordinates of the inscribed circle: I[2.5; 1.0555289706]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 175.0677241192° = 175°4'2″ = 0.08660928824 rad
∠ B' = β' = 134.2299239048° = 134°13'45″ = 0.79988504798 rad
∠ C' = γ' = 50.70435197608° = 50°42'13″ = 2.25766492914 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    