# 4 14 16 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 14   c = 16

Area: T = 25.74987863792
Perimeter: p = 34
Semiperimeter: s = 17

Angle ∠ A = α = 13.2911177243° = 13°17'28″ = 0.23219748044 rad
Angle ∠ B = β = 53.57664263577° = 53°34'35″ = 0.93550850414 rad
Angle ∠ C = γ = 113.1322396399° = 113°7'57″ = 1.97545328078 rad

Height: ha = 12.87443931896
Height: hb = 3.67883980542
Height: hc = 3.21985982974

Median: ma = 14.98996644258
Median: mb = 9.32773790531
Median: mc = 6.48107406984

Inradius: r = 1.51546344929
Circumradius: R = 8.69994391387

Vertex coordinates: A[16; 0] B[0; 0] C[2.375; 3.21985982974]
Centroid: CG[6.125; 1.07328660991]
Coordinates of the circumscribed circle: U[8; -3.41876368045]
Coordinates of the inscribed circle: I[3; 1.51546344929]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.7098822757° = 166°42'32″ = 0.23219748044 rad
∠ B' = β' = 126.4243573642° = 126°25'25″ = 0.93550850414 rad
∠ C' = γ' = 66.86876036007° = 66°52'3″ = 1.97545328078 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.