# 15 16 19 triangle

### Acute scalene triangle.

Sides: a = 15   b = 16   c = 19

Area: T = 116.1989500386
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 49.85440523379° = 49°51'15″ = 0.87701173588 rad
Angle ∠ B = β = 54.62334598481° = 54°37'24″ = 0.95333592232 rad
Angle ∠ C = γ = 75.52224878141° = 75°31'21″ = 1.31881160717 rad

Height: ha = 15.49219333848
Height: hb = 14.52436875483
Height: hc = 12.23304737249

Median: ma = 15.88223801743
Median: mb = 15.13327459504
Median: mc = 12.25876506721

Inradius: r = 4.64875800154
Circumradius: R = 9.81215578104

Vertex coordinates: A[19; 0] B[0; 0] C[8.68442105263; 12.23304737249]
Centroid: CG[9.22880701754; 4.0776824575]
Coordinates of the circumscribed circle: U[9.5; 2.45328894526]
Coordinates of the inscribed circle: I[9; 4.64875800154]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.1465947662° = 130°8'45″ = 0.87701173588 rad
∠ B' = β' = 125.3776540152° = 125°22'36″ = 0.95333592232 rad
∠ C' = γ' = 104.4787512186° = 104°28'39″ = 1.31881160717 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.