# 16 17 19 triangle

### Acute scalene triangle.

Sides: a = 16   b = 17   c = 19

Area: T = 127.9844374046
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 52.4177212507° = 52°25'2″ = 0.9154852943 rad
Angle ∠ B = β = 57.35221825649° = 57°21'8″ = 1.0010984419 rad
Angle ∠ C = γ = 70.23106049282° = 70°13'50″ = 1.22657552917 rad

Height: ha = 15.99880467558
Height: hb = 15.05769851819
Height: hc = 13.47220393733

Median: ma = 16.15554944214
Median: mb = 15.37704261489
Median: mc = 13.5

Inradius: r = 4.92224759249
Circumradius: R = 10.09549823729

Vertex coordinates: A[19; 0] B[0; 0] C[8.63215789474; 13.47220393733]
Centroid: CG[9.21105263158; 4.49106797911]
Coordinates of the circumscribed circle: U[9.5; 3.4144479332]
Coordinates of the inscribed circle: I[9; 4.92224759249]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.5832787493° = 127°34'58″ = 0.9154852943 rad
∠ B' = β' = 122.6487817435° = 122°38'52″ = 1.0010984419 rad
∠ C' = γ' = 109.7699395072° = 109°46'10″ = 1.22657552917 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.