40 55 85 triangle

Obtuse scalene triangle.

Sides: a = 40   b = 55   c = 85

Area: T = 887.4121967465
Perimeter: p = 180
Semiperimeter: s = 90

Angle ∠ A = α = 22.31114770869° = 22°18'41″ = 0.38994087361 rad
Angle ∠ B = β = 31.46769762933° = 31°28'1″ = 0.5499202342 rad
Angle ∠ C = γ = 126.222154662° = 126°13'18″ = 2.20329815755 rad

Height: ha = 44.37105983732
Height: hb = 32.27695260896
Height: hc = 20.88802815874

Median: ma = 68.73986354243
Median: mb = 60.46769331122
Median: mc = 22.5

Inradius: r = 9.86601329718
Circumradius: R = 52.68112818781

Vertex coordinates: A[85; 0] B[0; 0] C[34.11876470588; 20.88802815874]
Centroid: CG[39.70658823529; 6.96600938625]
Coordinates of the circumscribed circle: U[42.5; -31.13298483825]
Coordinates of the inscribed circle: I[35; 9.86601329718]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.6898522913° = 157°41'19″ = 0.38994087361 rad
∠ B' = β' = 148.5333023707° = 148°31'59″ = 0.5499202342 rad
∠ C' = γ' = 53.77884533802° = 53°46'42″ = 2.20329815755 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     