17.09 19.1 8.54 triangle

Acute scalene triangle.

Sides: a = 17.09   b = 19.1   c = 8.54

Area: T = 72.97442845896
Perimeter: p = 44.73
Semiperimeter: s = 22.365

Angle ∠ A = α = 63.47881592307° = 63°28'41″ = 1.10879028817 rad
Angle ∠ B = β = 89.96327642535° = 89°57'46″ = 1.57701464404 rad
Angle ∠ C = γ = 26.55990765158° = 26°33'33″ = 0.46435433315 rad

Height: ha = 8.54399981966
Height: hb = 7.64112863445
Height: hc = 17.0989996391

Median: ma = 12.07769936242
Median: mb = 9.55549646781
Median: mc = 17.61326701553

Inradius: r = 3.26328788102
Circumradius: R = 9.55500020167

Vertex coordinates: A[8.54; 0] B[0; 0] C[0.01111065574; 17.0989996391]
Centroid: CG[2.85503688525; 5.69766654637]
Coordinates of the circumscribed circle: U[4.27; 8.54222267893]
Coordinates of the inscribed circle: I[3.265; 3.26328788102]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.5221840769° = 116°31'19″ = 1.10879028817 rad
∠ B' = β' = 90.03772357465° = 90°2'14″ = 1.57701464404 rad
∠ C' = γ' = 153.4410923484° = 153°26'27″ = 0.46435433315 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     