# 12 22 24 triangle

### Acute scalene triangle.

Sides: a = 12   b = 22   c = 24

Area: T = 131.3588288661
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 29.83993144221° = 29°50'22″ = 0.52107942832 rad
Angle ∠ B = β = 65.81326135681° = 65°48'45″ = 1.14986467961 rad
Angle ∠ C = γ = 84.34880720098° = 84°20'53″ = 1.47221515743 rad

Height: ha = 21.89330481102
Height: hb = 11.94216626056
Height: hc = 10.94765240551

Median: ma = 22.22661107709
Median: mb = 15.46596248337
Median: mc = 13.03884048104

Inradius: r = 4.53295961607
Circumradius: R = 12.05986223842

Vertex coordinates: A[24; 0] B[0; 0] C[4.91766666667; 10.94765240551]
Centroid: CG[9.63988888889; 3.64988413517]
Coordinates of the circumscribed circle: U[12; 1.18875915984]
Coordinates of the inscribed circle: I[7; 4.53295961607]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.1610685578° = 150°9'38″ = 0.52107942832 rad
∠ B' = β' = 114.1877386432° = 114°11'15″ = 1.14986467961 rad
∠ C' = γ' = 95.65219279902° = 95°39'7″ = 1.47221515743 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.