# 11 12 17 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 12   c = 17

Area: T = 65.72767069006
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 40.11991668984° = 40°7'9″ = 0.77002115555 rad
Angle ∠ B = β = 44.66549245311° = 44°39'54″ = 0.78795499932 rad
Angle ∠ C = γ = 95.21659085705° = 95°12'57″ = 1.66218311048 rad

Height: ha = 11.95503103456
Height: hb = 10.95444511501
Height: hc = 7.7332553753

Median: ma = 13.6477344064
Median: mb = 13
Median: mc = 7.76220873481

Inradius: r = 3.2866335345
Circumradius: R = 8.53553431878

Vertex coordinates: A[17; 0] B[0; 0] C[7.82435294118; 7.7332553753]
Centroid: CG[8.27545098039; 2.57875179177]
Coordinates of the circumscribed circle: U[8.5; -0.77659402898]
Coordinates of the inscribed circle: I[8; 3.2866335345]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.8810833102° = 139°52'51″ = 0.77002115555 rad
∠ B' = β' = 135.3355075469° = 135°20'6″ = 0.78795499932 rad
∠ C' = γ' = 84.78440914295° = 84°47'3″ = 1.66218311048 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.