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?

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     