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?

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     