# 11 17 22 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 17   c = 22

Area: T = 91.65215138991
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 29.34881435989° = 29°20'53″ = 0.51222217351 rad
Angle ∠ B = β = 49.24399546573° = 49°14'24″ = 0.85993993323 rad
Angle ∠ C = γ = 101.4121901744° = 101°24'43″ = 1.77699715861 rad

Height: ha = 16.6643911618
Height: hb = 10.7832531047
Height: hc = 8.3321955809

Median: ma = 18.87545860882
Median: mb = 15.17439909055
Median: mc = 9.16551513899

Inradius: r = 3.6666060556
Circumradius: R = 11.22218550054

Vertex coordinates: A[22; 0] B[0; 0] C[7.18218181818; 8.3321955809]
Centroid: CG[9.72772727273; 2.7777318603]
Coordinates of the circumscribed circle: U[11; -2.22203670332]
Coordinates of the inscribed circle: I[8; 3.6666060556]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.6521856401° = 150°39'7″ = 0.51222217351 rad
∠ B' = β' = 130.7660045343° = 130°45'36″ = 0.85993993323 rad
∠ C' = γ' = 78.58880982562° = 78°35'17″ = 1.77699715861 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.