# 37 34 65.35 triangle

### Obtuse scalene triangle.

Sides: a = 37   b = 34   c = 65.35

Area: T = 452.9880276026
Perimeter: p = 136.35
Semiperimeter: s = 68.175

Angle ∠ A = α = 24.06330300085° = 24°3'47″ = 0.42199791017 rad
Angle ∠ B = β = 22.00546141187° = 22°17″ = 0.3844052967 rad
Angle ∠ C = γ = 133.9322355873° = 133°55'56″ = 2.33875605849 rad

Height: ha = 24.48554203257
Height: hb = 26.64658985897
Height: hc = 13.86332066113

Median: ma = 48.69435442333
Median: mb = 50.30771689722
Median: mc = 13.95986666627

Inradius: r = 6.64443751526
Circumradius: R = 45.37218982652

Vertex coordinates: A[65.35; 0] B[0; 0] C[34.30546863045; 13.86332066113]
Centroid: CG[33.21882287682; 4.62110688704]
Coordinates of the circumscribed circle: U[32.675; -31.479941434]
Coordinates of the inscribed circle: I[34.175; 6.64443751526]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.9376969992° = 155°56'13″ = 0.42199791017 rad
∠ B' = β' = 157.9955385881° = 157°59'43″ = 0.3844052967 rad
∠ C' = γ' = 46.06876441272° = 46°4'4″ = 2.33875605849 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    