# 6 17 22 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 17   c = 22

Area: T = 31.95221126062
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 9.83882269853° = 9°50'18″ = 0.17217094535 rad
Angle ∠ B = β = 28.95550243719° = 28°57'18″ = 0.50553605103 rad
Angle ∠ C = γ = 141.2076748643° = 141°12'24″ = 2.46545226899 rad

Height: ha = 10.65107042021
Height: hb = 3.75990720713
Height: hc = 2.90547375097

Median: ma = 19.42993592277
Median: mb = 13.7022189606
Median: mc = 6.44220493634

Inradius: r = 1.42200938936
Circumradius: R = 17.55875245028

Vertex coordinates: A[22; 0] B[0; 0] C[5.25; 2.90547375097]
Centroid: CG[9.08333333333; 0.96882458366]
Coordinates of the circumscribed circle: U[11; -13.68545411566]
Coordinates of the inscribed circle: I[5.5; 1.42200938936]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.1621773015° = 170°9'42″ = 0.17217094535 rad
∠ B' = β' = 151.0454975628° = 151°2'42″ = 0.50553605103 rad
∠ C' = γ' = 38.79332513571° = 38°47'36″ = 2.46545226899 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.