# 13 17 24 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 17   c = 24

Area: T = 106.4899436096
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 31.46769762933° = 31°28'1″ = 0.5499202342 rad
Angle ∠ B = β = 43.04990798002° = 43°2'57″ = 0.75113481825 rad
Angle ∠ C = γ = 105.4843943906° = 105°29'2″ = 1.84110421292 rad

Height: ha = 16.38329901686
Height: hb = 12.52881689524
Height: hc = 8.87441196746

Median: ma = 19.75547462651
Median: mb = 17.32877234512
Median: mc = 9.22195444573

Inradius: r = 3.94440531887
Circumradius: R = 12.4521939353

Vertex coordinates: A[24; 0] B[0; 0] C[9.5; 8.87441196746]
Centroid: CG[11.16766666667; 2.95880398915]
Coordinates of the circumscribed circle: U[12; -3.32442734019]
Coordinates of the inscribed circle: I[10; 3.94440531887]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.5333023707° = 148°31'59″ = 0.5499202342 rad
∠ B' = β' = 136.95109202° = 136°57'3″ = 0.75113481825 rad
∠ C' = γ' = 74.51660560935° = 74°30'58″ = 1.84110421292 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.