# 18 22 29 triangle

### Obtuse scalene triangle.

Sides: a = 18   b = 22   c = 29

Area: T = 197.8288050337
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 38.32771349636° = 38°19'38″ = 0.6698934698 rad
Angle ∠ B = β = 49.28548495732° = 49°17'5″ = 0.86601828964 rad
Angle ∠ C = γ = 92.38880154633° = 92°23'17″ = 1.61224750592 rad

Height: ha = 21.98108944819
Height: hb = 17.98443682124
Height: hc = 13.64333138163

Median: ma = 24.11443111036
Median: mb = 21.48325510589
Median: mc = 13.91994109071

Inradius: r = 5.73441463866
Circumradius: R = 14.51326032184

Vertex coordinates: A[29; 0] B[0; 0] C[11.74113793103; 13.64333138163]
Centroid: CG[13.58804597701; 4.54877712721]
Coordinates of the circumscribed circle: U[14.5; -0.60546918008]
Coordinates of the inscribed circle: I[12.5; 5.73441463866]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.6732865036° = 141°40'22″ = 0.6698934698 rad
∠ B' = β' = 130.7155150427° = 130°42'55″ = 0.86601828964 rad
∠ C' = γ' = 87.61219845367° = 87°36'43″ = 1.61224750592 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.