# 13 16 19 triangle

### Acute scalene triangle.

Sides: a = 13   b = 16   c = 19

Area: T = 102.7621860629
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 42.5376898363° = 42°32'13″ = 0.742240893 rad
Angle ∠ B = β = 56.31329847354° = 56°18'47″ = 0.98328469953 rad
Angle ∠ C = γ = 81.15501169016° = 81°9' = 1.41663367283 rad

Height: ha = 15.81095170199
Height: hb = 12.84552325787
Height: hc = 10.8177037961

Median: ma = 16.31771688721
Median: mb = 14.17774468788
Median: mc = 11.05766721937

Inradius: r = 4.28217441929
Circumradius: R = 9.61444619604

Vertex coordinates: A[19; 0] B[0; 0] C[7.21105263158; 10.8177037961]
Centroid: CG[8.73768421053; 3.60656793203]
Coordinates of the circumscribed circle: U[9.5; 1.47991479939]
Coordinates of the inscribed circle: I[8; 4.28217441929]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.4633101637° = 137°27'47″ = 0.742240893 rad
∠ B' = β' = 123.6877015265° = 123°41'13″ = 0.98328469953 rad
∠ C' = γ' = 98.85498830984° = 98°51' = 1.41663367283 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.