# 8 20 24 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 20   c = 24

Area: T = 74.94399759808
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 18.19548723388° = 18°11'42″ = 0.31875604293 rad
Angle ∠ B = β = 51.31878125465° = 51°19'4″ = 0.89656647939 rad
Angle ∠ C = γ = 110.4877315115° = 110°29'14″ = 1.92883674304 rad

Height: ha = 18.73549939952
Height: hb = 7.49439975981
Height: hc = 6.24549979984

Median: ma = 21.72655609824
Median: mb = 14.83223969742
Median: mc = 9.38108315196

Inradius: r = 2.88223067685
Circumradius: R = 12.81102523044

Vertex coordinates: A[24; 0] B[0; 0] C[5; 6.24549979984]
Centroid: CG[9.66766666667; 2.08216659995]
Coordinates of the circumscribed circle: U[12; -4.48435883065]
Coordinates of the inscribed circle: I[6; 2.88223067685]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.8055127661° = 161°48'18″ = 0.31875604293 rad
∠ B' = β' = 128.6822187453° = 128°40'56″ = 0.89656647939 rad
∠ C' = γ' = 69.51326848853° = 69°30'46″ = 1.92883674304 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.