# 13 15 19 triangle

### Acute scalene triangle.

Sides: a = 13   b = 15   c = 19

Area: T = 97.15503345336
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 42.98110733896° = 42°58'52″ = 0.75501612467 rad
Angle ∠ B = β = 51.87328349633° = 51°52'22″ = 0.90553517625 rad
Angle ∠ C = γ = 85.14660916471° = 85°8'46″ = 1.48660796444 rad

Height: ha = 14.94662053129
Height: hb = 12.95333779378
Height: hc = 10.22663510035

Median: ma = 15.83550876221
Median: mb = 14.44881832768
Median: mc = 10.33219891599

Inradius: r = 4.13440567887
Circumradius: R = 9.53441925938

Vertex coordinates: A[19; 0] B[0; 0] C[8.02663157895; 10.22663510035]
Centroid: CG[9.00987719298; 3.40987836678]
Coordinates of the circumscribed circle: U[9.5; 0.80767393733]
Coordinates of the inscribed circle: I[8.5; 4.13440567887]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.019892661° = 137°1'8″ = 0.75501612467 rad
∠ B' = β' = 128.1277165037° = 128°7'38″ = 0.90553517625 rad
∠ C' = γ' = 94.85439083529° = 94°51'14″ = 1.48660796444 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.