# 11 15 24 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 15   c = 24

Area: T = 59.1610797831
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 19.18881364537° = 19°11'17″ = 0.33548961584 rad
Angle ∠ B = β = 26.6277478393° = 26°37'39″ = 0.46547371695 rad
Angle ∠ C = γ = 134.1844385153° = 134°11'4″ = 2.34219593257 rad

Height: ha = 10.75765086965
Height: hb = 7.88881063775
Height: hc = 4.93300664859

Median: ma = 19.24218814049
Median: mb = 17.09553209973
Median: mc = 5.38551648071

Inradius: r = 2.36664319132
Circumradius: R = 16.73440542436

Vertex coordinates: A[24; 0] B[0; 0] C[9.83333333333; 4.93300664859]
Centroid: CG[11.27877777778; 1.64333554953]
Coordinates of the circumscribed circle: U[12; -11.66331287153]
Coordinates of the inscribed circle: I[10; 2.36664319132]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.8121863546° = 160°48'43″ = 0.33548961584 rad
∠ B' = β' = 153.3732521607° = 153°22'21″ = 0.46547371695 rad
∠ C' = γ' = 45.81656148467° = 45°48'56″ = 2.34219593257 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.