# 2 16 17 triangle

### Obtuse scalene triangle.

Sides: a = 2   b = 16   c = 17

Area: T = 14.26331518256
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 6.02200291433° = 6°1'12″ = 0.10550693296 rad
Angle ∠ B = β = 57.03656126762° = 57°2'8″ = 0.99554592321 rad
Angle ∠ C = γ = 116.944435818° = 116°56'40″ = 2.04110640919 rad

Height: ha = 14.26331518256
Height: hb = 1.78328939782
Height: hc = 1.67880178618

Median: ma = 16.47772570533
Median: mb = 9.08329510623
Median: mc = 7.59993420768

Inradius: r = 0.81550372472
Circumradius: R = 9.53550594078

Vertex coordinates: A[17; 0] B[0; 0] C[1.08882352941; 1.67880178618]
Centroid: CG[6.02994117647; 0.55993392873]
Coordinates of the circumscribed circle: U[8.5; -4.32105737942]
Coordinates of the inscribed circle: I[1.5; 0.81550372472]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173.9879970857° = 173°58'48″ = 0.10550693296 rad
∠ B' = β' = 122.9644387324° = 122°57'52″ = 0.99554592321 rad
∠ C' = γ' = 63.05656418195° = 63°3'20″ = 2.04110640919 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    