# 6 20 24 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 20   c = 24

Area: T = 48.7343971724
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 11.71658523949° = 11°42'57″ = 0.2044480199 rad
Angle ∠ B = β = 42.59988128925° = 42°35'56″ = 0.74334895424 rad
Angle ∠ C = γ = 125.6855334713° = 125°41'7″ = 2.19436229122 rad

Height: ha = 16.24546572413
Height: hb = 4.87333971724
Height: hc = 4.06111643103

Median: ma = 21.88660686282
Median: mb = 14.35327000944
Median: mc = 8.6022325267

Inradius: r = 1.9499358869
Circumradius: R = 14.774408827

Vertex coordinates: A[24; 0] B[0; 0] C[4.41766666667; 4.06111643103]
Centroid: CG[9.47222222222; 1.35437214368]
Coordinates of the circumscribed circle: U[12; -8.61882181575]
Coordinates of the inscribed circle: I[5; 1.9499358869]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.2844147605° = 168°17'3″ = 0.2044480199 rad
∠ B' = β' = 137.4011187108° = 137°24'4″ = 0.74334895424 rad
∠ C' = γ' = 54.31546652873° = 54°18'53″ = 2.19436229122 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.