# 6 16 17 triangle

### Acute scalene triangle.

Sides: a = 6   b = 16   c = 17

Area: T = 47.99441402673
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 20.66546780584° = 20°39'53″ = 0.3610666671 rad
Angle ∠ B = β = 70.23106049282° = 70°13'50″ = 1.22657552917 rad
Angle ∠ C = γ = 89.10547170134° = 89°6'17″ = 1.55551706909 rad

Height: ha = 15.99880467558
Height: hb = 5.99992675334
Height: hc = 5.64663694432

Median: ma = 16.23326830807
Median: mb = 9.92547166206
Median: mc = 8.58877820187

Inradius: r = 2.46112379624
Circumradius: R = 8.50110377877

Vertex coordinates: A[17; 0] B[0; 0] C[2.02994117647; 5.64663694432]
Centroid: CG[6.34331372549; 1.88221231477]
Coordinates of the circumscribed circle: U[8.5; 0.13328287154]
Coordinates of the inscribed circle: I[3.5; 2.46112379624]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.3355321942° = 159°20'7″ = 0.3610666671 rad
∠ B' = β' = 109.7699395072° = 109°46'10″ = 1.22657552917 rad
∠ C' = γ' = 90.89552829866° = 90°53'43″ = 1.55551706909 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    