# 65 72 97 triangle

### Right scalene triangle.

Sides: a = 65   b = 72   c = 97

Area: T = 2340
Perimeter: p = 234
Semiperimeter: s = 117

Angle ∠ A = α = 42.07550220508° = 42°4'30″ = 0.73443476676 rad
Angle ∠ B = β = 47.92549779492° = 47°55'30″ = 0.83664486592 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 72
Height: hb = 65
Height: hc = 48.24774226804

Median: ma = 78.99552530219
Median: mb = 74.3033431953
Median: mc = 48.5

Vertex coordinates: A[97; 0] B[0; 0] C[43.55767010309; 48.24774226804]
Centroid: CG[46.8522233677; 16.08224742268]
Coordinates of the circumscribed circle: U[48.5; 0]
Coordinates of the inscribed circle: I[45; 20]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.9254977949° = 137°55'30″ = 0.73443476676 rad
∠ B' = β' = 132.0755022051° = 132°4'30″ = 0.83664486592 rad
∠ C' = γ' = 90° = 1.57107963268 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    