# 5 14 16 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 14   c = 16

Area: T = 33.88986042793
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 17.61224390704° = 17°36'45″ = 0.30773950511 rad
Angle ∠ B = β = 57.91100487437° = 57°54'36″ = 1.01107210206 rad
Angle ∠ C = γ = 104.4787512186° = 104°28'39″ = 1.82334765819 rad

Height: ha = 13.55554417117
Height: hb = 4.84112291828
Height: hc = 4.23660755349

Median: ma = 14.82439670804
Median: mb = 9.56655632349
Median: mc = 6.81990908485

Inradius: r = 1.93664916731
Circumradius: R = 8.26223644719

Vertex coordinates: A[16; 0] B[0; 0] C[2.656625; 4.23660755349]
Centroid: CG[6.219875; 1.41220251783]
Coordinates of the circumscribed circle: U[8; -2.0665591118]
Coordinates of the inscribed circle: I[3.5; 1.93664916731]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.388756093° = 162°23'15″ = 0.30773950511 rad
∠ B' = β' = 122.0989951256° = 122°5'24″ = 1.01107210206 rad
∠ C' = γ' = 75.52224878141° = 75°31'21″ = 1.82334765819 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.