# 20 22 24 triangle

### Acute scalene triangle.

Sides: a = 20   b = 22   c = 24

Area: T = 206.0854933947
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 51.31878125465° = 51°19'4″ = 0.89656647939 rad
Angle ∠ B = β = 59.17695025682° = 59°10'10″ = 1.03327026366 rad
Angle ∠ C = γ = 69.51326848853° = 69°30'46″ = 1.21332252231 rad

Height: ha = 20.60884933947
Height: hb = 18.73549939952
Height: hc = 17.17437444956

Median: ma = 20.73664413533
Median: mb = 19.15772440607
Median: mc = 17.26326765016

Inradius: r = 6.24549979984
Circumradius: R = 12.81102523044

Vertex coordinates: A[24; 0] B[0; 0] C[10.25; 17.17437444956]
Centroid: CG[11.41766666667; 5.72545814985]
Coordinates of the circumscribed circle: U[12; 4.48435883065]
Coordinates of the inscribed circle: I[11; 6.24549979984]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.6822187453° = 128°40'56″ = 0.89656647939 rad
∠ B' = β' = 120.8330497432° = 120°49'50″ = 1.03327026366 rad
∠ C' = γ' = 110.4877315115° = 110°29'14″ = 1.21332252231 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.