# 7 17 22 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 17   c = 22

Area: T = 46.98993604979
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 14.55332690751° = 14°33'12″ = 0.25440024623 rad
Angle ∠ B = β = 37.60876855758° = 37°36'28″ = 0.65663779374 rad
Angle ∠ C = γ = 127.8399045349° = 127°50'21″ = 2.23112122539 rad

Height: ha = 13.42655315708
Height: hb = 5.52881600586
Height: hc = 4.27217600453

Median: ma = 19.34655421222
Median: mb = 13.93773598648
Median: mc = 6.92882032303

Inradius: r = 2.04330156738
Circumradius: R = 13.92986849845

Vertex coordinates: A[22; 0] B[0; 0] C[5.54554545455; 4.27217600453]
Centroid: CG[9.18218181818; 1.42439200151]
Coordinates of the circumscribed circle: U[11; -8.54444874275]
Coordinates of the inscribed circle: I[6; 2.04330156738]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.4476730925° = 165°26'48″ = 0.25440024623 rad
∠ B' = β' = 142.3922314424° = 142°23'32″ = 0.65663779374 rad
∠ C' = γ' = 52.16109546509° = 52°9'39″ = 2.23112122539 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.