# 13 14 19 triangle

### Acute scalene triangle.

Sides: a = 13   b = 14   c = 19

Area: T = 90.99545053286
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 43.17703054388° = 43°10'13″ = 0.7533463969 rad
Angle ∠ B = β = 47.45993311847° = 47°27'34″ = 0.828832159 rad
Angle ∠ C = γ = 89.37703633766° = 89°22'13″ = 1.56598070946 rad

Height: ha = 13.99991546659
Height: hb = 12.99992150469
Height: hc = 9.5788368982

Median: ma = 15.37704261489
Median: mb = 14.69769384567
Median: mc = 9.60546863561

Inradius: r = 3.95662828404
Circumradius: R = 9.50105736542

Vertex coordinates: A[19; 0] B[0; 0] C[8.78994736842; 9.5788368982]
Centroid: CG[9.26331578947; 3.19327896607]
Coordinates of the circumscribed circle: U[9.5; 0.10444019083]
Coordinates of the inscribed circle: I[9; 3.95662828404]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.8329694561° = 136°49'47″ = 0.7533463969 rad
∠ B' = β' = 132.5410668815° = 132°32'26″ = 0.828832159 rad
∠ C' = γ' = 90.63296366234° = 90°37'47″ = 1.56598070946 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.