# 17.464 14.213 30.871 triangle

### Obtuse scalene triangle.

Sides: a = 17.46442491966   b = 14.21326704036   c = 30.87106980809

Area: T = 54.55000000015
Perimeter: p = 62.54876176811
Semiperimeter: s = 31.27438088406

Angle ∠ A = α = 14.38546380547° = 14°23'5″ = 0.25110592958 rad
Angle ∠ B = β = 11.66442488932° = 11°39'51″ = 0.2043579548 rad
Angle ∠ C = γ = 153.9511113052° = 153°57'4″ = 2.68769538099 rad

Height: ha = 6.24113218442
Height: hb = 7.66992132377
Height: hc = 3.53108563388

Median: ma = 22.38986131773
Median: mb = 24.05220269416
Median: mc = 3.9055124838

Inradius: r = 1.74326722878
Circumradius: R = 35.14992094068

Vertex coordinates: A[30.87106980809; 0] B[0; 0] C[17.10435976776; 3.53108563388]
Centroid: CG[15.99114319195; 1.17769521129]
Coordinates of the circumscribed circle: U[15.43553490405; -31.5798741614]
Coordinates of the inscribed circle: I[17.0611138437; 1.74326722878]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.6155361945° = 165°36'55″ = 0.25110592958 rad
∠ B' = β' = 168.3365751107° = 168°20'9″ = 0.2043579548 rad
∠ C' = γ' = 26.0498886948° = 26°2'56″ = 2.68769538099 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    