# 14 20 30 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 20   c = 30

Area: T = 117.5765507654
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 23.07439180656° = 23°4'26″ = 0.40327158416 rad
Angle ∠ B = β = 34.048773237° = 34°2'52″ = 0.59442450327 rad
Angle ∠ C = γ = 122.8788349564° = 122°52'42″ = 2.14546317793 rad

Height: ha = 16.79765010934
Height: hb = 11.75875507654
Height: hc = 7.83883671769

Median: ma = 24.51553013443
Median: mb = 21.16660104885
Median: mc = 8.54440037453

Inradius: r = 3.67442346142
Circumradius: R = 17.86108627078

Vertex coordinates: A[30; 0] B[0; 0] C[11.6; 7.83883671769]
Centroid: CG[13.86766666667; 2.6132789059]
Coordinates of the circumscribed circle: U[15; -9.69658968985]
Coordinates of the inscribed circle: I[12; 3.67442346142]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.9266081934° = 156°55'34″ = 0.40327158416 rad
∠ B' = β' = 145.952226763° = 145°57'8″ = 0.59442450327 rad
∠ C' = γ' = 57.12216504356° = 57°7'18″ = 2.14546317793 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.