# 12 16 24 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 16   c = 24

Area: T = 85.32329160308
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 26.38443297494° = 26°23'4″ = 0.46604934251 rad
Angle ∠ B = β = 36.33660575146° = 36°20'10″ = 0.63441838408 rad
Angle ∠ C = γ = 117.2879612736° = 117°16'47″ = 2.04769153877 rad

Height: ha = 14.22204860051
Height: hb = 10.66553645039
Height: hc = 7.11102430026

Median: ma = 19.49435886896
Median: mb = 17.20546505341
Median: mc = 7.48333147735

Inradius: r = 3.28216506166
Circumradius: R = 13.5021648251

Vertex coordinates: A[24; 0] B[0; 0] C[9.66766666667; 7.11102430026]
Centroid: CG[11.22222222222; 2.37700810009]
Coordinates of the circumscribed circle: U[12; -6.18882554484]
Coordinates of the inscribed circle: I[10; 3.28216506166]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.6165670251° = 153°36'56″ = 0.46604934251 rad
∠ B' = β' = 143.6643942485° = 143°39'50″ = 0.63441838408 rad
∠ C' = γ' = 62.7220387264° = 62°43'13″ = 2.04769153877 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.