# 16 17 27 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 17   c = 27

Area: T = 127.9844374046
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 33.89545474135° = 33°53'40″ = 0.59215714508 rad
Angle ∠ B = β = 36.33660575146° = 36°20'10″ = 0.63441838408 rad
Angle ∠ C = γ = 109.7699395072° = 109°46'10″ = 1.91658373619 rad

Height: ha = 15.99880467558
Height: hb = 15.05769851819
Height: hc = 9.48803240034

Median: ma = 21.09550231097
Median: mb = 20.5
Median: mc = 9.5

Inradius: r = 4.26661458015
Circumradius: R = 14.34655012667

Vertex coordinates: A[27; 0] B[0; 0] C[12.88988888889; 9.48803240034]
Centroid: CG[13.29662962963; 3.16601080011]
Coordinates of the circumscribed circle: U[13.5; -4.85221548402]
Coordinates of the inscribed circle: I[13; 4.26661458015]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.1055452586° = 146°6'20″ = 0.59215714508 rad
∠ B' = β' = 143.6643942485° = 143°39'50″ = 0.63441838408 rad
∠ C' = γ' = 70.23106049282° = 70°13'50″ = 1.91658373619 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.