# 11 19 24 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 19   c = 24

Area: T = 101.8233376491
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 26.52553520166° = 26°31'31″ = 0.46329547279 rad
Angle ∠ B = β = 50.47988036414° = 50°28'44″ = 0.8811021326 rad
Angle ∠ C = γ = 102.9965844342° = 102°59'45″ = 1.79876165996 rad

Height: ha = 18.51333411802
Height: hb = 10.71882501569
Height: hc = 8.48552813742

Median: ma = 20.93444214155
Median: mb = 16.077015868
Median: mc = 9.84988578018

Inradius: r = 3.77112361663
Circumradius: R = 12.31554431057

Vertex coordinates: A[24; 0] B[0; 0] C[7; 8.48552813742]
Centroid: CG[10.33333333333; 2.82884271247]
Coordinates of the circumscribed circle: U[12; -2.77695015596]
Coordinates of the inscribed circle: I[8; 3.77112361663]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.4754647983° = 153°28'29″ = 0.46329547279 rad
∠ B' = β' = 129.5211196359° = 129°31'16″ = 0.8811021326 rad
∠ C' = γ' = 77.0044155658° = 77°15″ = 1.79876165996 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.