# 10 16 19 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 16   c = 19

Area: T = 79.99902337789
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 31.75325344486° = 31°45'9″ = 0.5544186272 rad
Angle ∠ B = β = 57.35221825649° = 57°21'8″ = 1.0010984419 rad
Angle ∠ C = γ = 90.89552829866° = 90°53'43″ = 1.58664219626 rad

Height: ha = 15.99880467558
Height: hb = 9.99987792224
Height: hc = 8.42200246083

Median: ma = 16.83774582405
Median: mb = 12.90334879006
Median: mc = 9.36774969976

Inradius: r = 3.55551215013
Circumradius: R = 9.50111598804

Vertex coordinates: A[19; 0] B[0; 0] C[5.39547368421; 8.42200246083]
Centroid: CG[8.13215789474; 2.80766748694]
Coordinates of the circumscribed circle: U[9.5; -0.14884556231]
Coordinates of the inscribed circle: I[6.5; 3.55551215013]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.2477465551° = 148°14'51″ = 0.5544186272 rad
∠ B' = β' = 122.6487817435° = 122°38'52″ = 1.0010984419 rad
∠ C' = γ' = 89.10547170134° = 89°6'17″ = 1.58664219626 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.