# 65 55 113.02 triangle

### Obtuse scalene triangle.

Sides: a = 65   b = 55   c = 113.02

Area: T = 1135.045466847
Perimeter: p = 233.02
Semiperimeter: s = 116.51

Angle ∠ A = α = 21.42195907325° = 21°25'11″ = 0.37438423827 rad
Angle ∠ B = β = 187.999653861° = 17°59'59″ = 0.31441532241 rad
Angle ∠ C = γ = 140.5810755407° = 140°34'51″ = 2.45435970468 rad

Height: ha = 34.92444513376
Height: hb = 41.27443515808
Height: hc = 20.0865731171

Median: ma = 82.72224890825
Median: mb = 87.99443759566
Median: mc = 20.77554638937

Inradius: r = 9.74220364644
Circumradius: R = 88.99435240488

Vertex coordinates: A[113.02; 0] B[0; 0] C[61.81987949036; 20.0865731171]
Centroid: CG[58.28795983012; 6.69552437237]
Coordinates of the circumscribed circle: U[56.51; -68.74993070701]
Coordinates of the inscribed circle: I[61.51; 9.74220364644]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.5880409268° = 158°34'49″ = 0.37438423827 rad
∠ B' = β' = 1622.000346139° = 162°1″ = 0.31441532241 rad
∠ C' = γ' = 39.41992445934° = 39°25'9″ = 2.45435970468 rad

# How did we calculate this triangle?

### 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    