# 14 23 24 triangle

### Acute scalene triangle.

Sides: a = 14   b = 23   c = 24

Area: T = 156.6321534181
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 34.57664633043° = 34°34'35″ = 0.60334731284 rad
Angle ∠ B = β = 68.80110709829° = 68°48'4″ = 1.20108052175 rad
Angle ∠ C = γ = 76.62224657128° = 76°37'21″ = 1.33773143077 rad

Height: ha = 22.37659334545
Height: hb = 13.62201334071
Height: hc = 13.05326278484

Median: ma = 22.43988056723
Median: mb = 15.93295323221
Median: mc = 14.78217454991

Inradius: r = 5.13554601371
Circumradius: R = 12.33546809447

Vertex coordinates: A[24; 0] B[0; 0] C[5.06325; 13.05326278484]
Centroid: CG[9.68875; 4.35108759495]
Coordinates of the circumscribed circle: U[12; 2.85438314608]
Coordinates of the inscribed circle: I[7.5; 5.13554601371]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.4243536696° = 145°25'25″ = 0.60334731284 rad
∠ B' = β' = 111.1998929017° = 111°11'56″ = 1.20108052175 rad
∠ C' = γ' = 103.3787534287° = 103°22'39″ = 1.33773143077 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.