# 17 21 24 triangle

### Acute scalene triangle.

Sides: a = 17   b = 21   c = 24

Area: T = 174.2998594372
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 43.76217426927° = 43°45'42″ = 0.76437864964 rad
Angle ∠ B = β = 58.69440499332° = 58°41'39″ = 1.02444044227 rad
Angle ∠ C = γ = 77.54442073741° = 77°32'39″ = 1.35334017345 rad

Height: ha = 20.50657169849
Height: hb = 16.65998661307
Height: hc = 14.52548828643

Median: ma = 20.88765985742
Median: mb = 17.9511323071
Median: mc = 14.86660687473

Inradius: r = 5.62325353023
Circumradius: R = 12.28992557322

Vertex coordinates: A[24; 0] B[0; 0] C[8.83333333333; 14.52548828643]
Centroid: CG[10.94444444444; 4.84216276214]
Coordinates of the circumscribed circle: U[12; 2.65106237854]
Coordinates of the inscribed circle: I[10; 5.62325353023]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.2388257307° = 136°14'18″ = 0.76437864964 rad
∠ B' = β' = 121.3065950067° = 121°18'21″ = 1.02444044227 rad
∠ C' = γ' = 102.4565792626° = 102°27'21″ = 1.35334017345 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.