# 18 19 22 triangle

### Acute scalene triangle.

Sides: a = 18   b = 19   c = 22

Area: T = 163.4550107066
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 51.44993854991° = 51°26'58″ = 0.89879611751 rad
Angle ∠ B = β = 55.64397840413° = 55°38'23″ = 0.97110974266 rad
Angle ∠ C = γ = 72.91108304596° = 72°54'39″ = 1.27325340519 rad

Height: ha = 18.16111230074
Height: hb = 17.2055274428
Height: hc = 14.85991006424

Median: ma = 18.48797186126
Median: mb = 17.71329895839
Median: mc = 14.88328760661

Inradius: r = 5.54106815955
Circumradius: R = 11.50880989163

Vertex coordinates: A[22; 0] B[0; 0] C[10.15990909091; 14.85991006424]
Centroid: CG[10.72196969697; 4.95330335475]
Coordinates of the circumscribed circle: U[11; 3.38217659096]
Coordinates of the inscribed circle: I[10.5; 5.54106815955]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.5510614501° = 128°33'2″ = 0.89879611751 rad
∠ B' = β' = 124.3660215959° = 124°21'37″ = 0.97110974266 rad
∠ C' = γ' = 107.089916954° = 107°5'21″ = 1.27325340519 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.