# 11 12 19 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 12   c = 19

Area: T = 61.48217045958
Perimeter: p = 42
Semiperimeter: s = 21

Angle ∠ A = α = 32.63768975036° = 32°38'13″ = 0.57696213191 rad
Angle ∠ B = β = 36.03994162329° = 36°2'22″ = 0.62990064738 rad
Angle ∠ C = γ = 111.3243686263° = 111°19'25″ = 1.94329648608 rad

Height: ha = 11.17884917447
Height: hb = 10.2476950766
Height: hc = 6.47217583785

Median: ma = 14.90880515159
Median: mb = 14.31878210633
Median: mc = 6.5

Inradius: r = 2.92877002188
Circumradius: R = 10.19881557623

Vertex coordinates: A[19; 0] B[0; 0] C[8.89547368421; 6.47217583785]
Centroid: CG[9.2988245614; 2.15772527928]
Coordinates of the circumscribed circle: U[9.5; -3.70884202772]
Coordinates of the inscribed circle: I[9; 2.92877002188]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.3633102496° = 147°21'47″ = 0.57696213191 rad
∠ B' = β' = 143.9610583767° = 143°57'38″ = 0.62990064738 rad
∠ C' = γ' = 68.67663137365° = 68°40'35″ = 1.94329648608 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.