# 13 14 24 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 14   c = 24

Area: T = 74.15114497498
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 26.19218154354° = 26°11'31″ = 0.45771334164 rad
Angle ∠ B = β = 28.38108258398° = 28°22'51″ = 0.49553388553 rad
Angle ∠ C = γ = 125.4277358725° = 125°25'38″ = 2.18991203818 rad

Height: ha = 11.40879153461
Height: hb = 10.593306425
Height: hc = 6.17992874792

Median: ma = 18.54404962177
Median: mb = 17.98661057486
Median: mc = 6.2054836823

Inradius: r = 2.90878999902
Circumradius: R = 14.72766169938

Vertex coordinates: A[24; 0] B[0; 0] C[11.43875; 6.17992874792]
Centroid: CG[11.81325; 2.06597624931]
Coordinates of the circumscribed circle: U[12; -8.53765829277]
Coordinates of the inscribed circle: I[11.5; 2.90878999902]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.8088184565° = 153°48'29″ = 0.45771334164 rad
∠ B' = β' = 151.619917416° = 151°37'9″ = 0.49553388553 rad
∠ C' = γ' = 54.57326412751° = 54°34'22″ = 2.18991203818 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.