# 3 16 17 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 16   c = 17

Area: T = 23.23879000772
Perimeter: p = 36
Semiperimeter: s = 18

Angle ∠ A = α = 9.83882269853° = 9°50'18″ = 0.17217094535 rad
Angle ∠ B = β = 65.68442608288° = 65°41'3″ = 1.14664066182 rad
Angle ∠ C = γ = 104.4787512186° = 104°28'39″ = 1.82334765819 rad

Height: ha = 15.49219333848
Height: hb = 2.90547375097
Height: hc = 2.73438705973

Median: ma = 16.43992822228
Median: mb = 9.22195444573
Median: mc = 7.76220873481

Inradius: r = 1.29109944487
Circumradius: R = 8.77987622514

Vertex coordinates: A[17; 0] B[0; 0] C[1.23552941176; 2.73438705973]
Centroid: CG[6.07884313725; 0.91112901991]
Coordinates of the circumscribed circle: U[8.5; -2.19546905629]
Coordinates of the inscribed circle: I[2; 1.29109944487]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.1621773015° = 170°9'42″ = 0.17217094535 rad
∠ B' = β' = 114.3165739171° = 114°18'57″ = 1.14664066182 rad
∠ C' = γ' = 75.52224878141° = 75°31'21″ = 1.82334765819 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.