# 5 13 14 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 13   c = 14

Area: T = 32.49661536185
Perimeter: p = 32
Semiperimeter: s = 16

Angle ∠ A = α = 20.92222396826° = 20°55'20″ = 0.36551619694 rad
Angle ∠ B = β = 68.19662520106° = 68°11'47″ = 1.19902491351 rad
Angle ∠ C = γ = 90.88215083068° = 90°52'53″ = 1.58661815491 rad

Height: ha = 12.99884614474
Height: hb = 4.9999408249
Height: hc = 4.64223076598

Median: ma = 13.27659180474
Median: mb = 8.26113558209
Median: mc = 6.92882032303

Inradius: r = 2.03110096012
Circumradius: R = 7.00108285494

Vertex coordinates: A[14; 0] B[0; 0] C[1.85771428571; 4.64223076598]
Centroid: CG[5.28657142857; 1.54774358866]
Coordinates of the circumscribed circle: U[7; -0.10877050546]
Coordinates of the inscribed circle: I[3; 2.03110096012]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.0787760317° = 159°4'40″ = 0.36551619694 rad
∠ B' = β' = 111.8043747989° = 111°48'13″ = 1.19902491351 rad
∠ C' = γ' = 89.11884916932° = 89°7'7″ = 1.58661815491 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.