# 11 18 22 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 18   c = 22

Area: T = 98.51987164959
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 29.83993144221° = 29°50'22″ = 0.52107942832 rad
Angle ∠ B = β = 54.50987575877° = 54°30'32″ = 0.95113572911 rad
Angle ∠ C = γ = 95.65219279902° = 95°39'7″ = 1.66994410793 rad

Height: ha = 17.91224939083
Height: hb = 10.94765240551
Height: hc = 8.95662469542

Median: ma = 19.33326149292
Median: mb = 14.88328760661
Median: mc = 10.07547208398

Inradius: r = 3.86334790783
Circumradius: R = 11.05437371855

Vertex coordinates: A[22; 0] B[0; 0] C[6.38663636364; 8.95662469542]
Centroid: CG[9.46221212121; 2.98554156514]
Coordinates of the circumscribed circle: U[11; -1.08986256319]
Coordinates of the inscribed circle: I[7.5; 3.86334790783]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.1610685578° = 150°9'38″ = 0.52107942832 rad
∠ B' = β' = 125.4911242412° = 125°29'28″ = 0.95113572911 rad
∠ C' = γ' = 84.34880720098° = 84°20'53″ = 1.66994410793 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.