# 6 12 17 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 12   c = 17

Area: T = 23.52552523897
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 13.3354738201° = 13°20'5″ = 0.23327350865 rad
Angle ∠ B = β = 27.47696994896° = 27°28'11″ = 0.47994367006 rad
Angle ∠ C = γ = 139.1965562309° = 139°11'44″ = 2.42994208665 rad

Height: ha = 7.84217507966
Height: hb = 3.92108753983
Height: hc = 2.76876767517

Median: ma = 14.40548602909
Median: mb = 11.24772218792
Median: mc = 4.21330748866

Inradius: r = 1.34443001366
Circumradius: R = 13.0077299345

Vertex coordinates: A[17; 0] B[0; 0] C[5.32435294118; 2.76876767517]
Centroid: CG[7.44111764706; 0.92325589172]
Coordinates of the circumscribed circle: U[8.5; -9.84658029764]
Coordinates of the inscribed circle: I[5.5; 1.34443001366]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.6655261799° = 166°39'55″ = 0.23327350865 rad
∠ B' = β' = 152.533030051° = 152°31'49″ = 0.47994367006 rad
∠ C' = γ' = 40.80444376906° = 40°48'16″ = 2.42994208665 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.