# 17 18 22 triangle

### Acute scalene triangle.

Sides: a = 17   b = 18   c = 22

Area: T = 149.5622486941
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 49.05773686884° = 49°3'27″ = 0.8566212606 rad
Angle ∠ B = β = 53.11109502942° = 53°6'39″ = 0.92769609515 rad
Angle ∠ C = γ = 77.83216810174° = 77°49'54″ = 1.35884190961 rad

Height: ha = 17.5965586699
Height: hb = 16.61880541046
Height: hc = 13.59765897219

Median: ma = 18.21440056001
Median: mb = 17.47985582929
Median: mc = 13.62198384719

Inradius: r = 5.24878065593
Circumradius: R = 11.25328217097

Vertex coordinates: A[22; 0] B[0; 0] C[10.20545454545; 13.59765897219]
Centroid: CG[10.73548484848; 4.5322196574]
Coordinates of the circumscribed circle: U[11; 2.37219183015]
Coordinates of the inscribed circle: I[10.5; 5.24878065593]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.9432631312° = 130°56'33″ = 0.8566212606 rad
∠ B' = β' = 126.8899049706° = 126°53'21″ = 0.92769609515 rad
∠ C' = γ' = 102.1688318983° = 102°10'6″ = 1.35884190961 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.