# 4 14 17 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 14   c = 17

Area: T = 20.33331625676
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 9.83882269853° = 9°50'18″ = 0.17217094535 rad
Angle ∠ B = β = 36.7299236457° = 36°43'45″ = 0.64110461079 rad
Angle ∠ C = γ = 133.4332536558° = 133°25'57″ = 2.32988370922 rad

Height: ha = 10.16765812838
Height: hb = 2.90547375097
Height: hc = 2.39221367727

Median: ma = 15.44334452115
Median: mb = 10.17334949747
Median: mc = 5.80994750193

Inradius: r = 1.16218950039
Circumradius: R = 11.70550163352

Vertex coordinates: A[17; 0] B[0; 0] C[3.20658823529; 2.39221367727]
Centroid: CG[6.73552941176; 0.79773789242]
Coordinates of the circumscribed circle: U[8.5; -8.04771987305]
Coordinates of the inscribed circle: I[3.5; 1.16218950039]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.1621773015° = 170°9'42″ = 0.17217094535 rad
∠ B' = β' = 143.2710763543° = 143°16'15″ = 0.64110461079 rad
∠ C' = γ' = 46.56774634422° = 46°34'3″ = 2.32988370922 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    