# 14 17 27 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 17   c = 27

Area: T = 102.1766318196
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 26.43769490405° = 26°26'13″ = 0.46114118049 rad
Angle ∠ B = β = 32.72655443586° = 32°43'32″ = 0.57111684986 rad
Angle ∠ C = γ = 120.8387506601° = 120°50'15″ = 2.10990123501 rad

Height: ha = 14.59766168851
Height: hb = 12.02107433171
Height: hc = 7.56986161626

Median: ma = 21.44876105895
Median: mb = 19.75547462651
Median: mc = 7.76220873481

Inradius: r = 3.52333213171
Circumradius: R = 15.72328213775

Vertex coordinates: A[27; 0] B[0; 0] C[11.77877777778; 7.56986161626]
Centroid: CG[12.92659259259; 2.52328720542]
Coordinates of the circumscribed circle: U[13.5; -8.06595975128]
Coordinates of the inscribed circle: I[12; 3.52333213171]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.563305096° = 153°33'47″ = 0.46114118049 rad
∠ B' = β' = 147.2744455641° = 147°16'28″ = 0.57111684986 rad
∠ C' = γ' = 59.16224933991° = 59°9'45″ = 2.10990123501 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.