# 14 18 22 triangle

### Acute scalene triangle.

Sides: a = 14   b = 18   c = 22

Area: T = 125.6788160394
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 39.40105687537° = 39°24'2″ = 0.68876696519 rad
Angle ∠ B = β = 54.69554750044° = 54°41'44″ = 0.95546161248 rad
Angle ∠ C = γ = 85.90439562418° = 85°54'14″ = 1.49993068769 rad

Height: ha = 17.95440229134
Height: hb = 13.96442400438
Height: hc = 11.42552873085

Median: ma = 18.84114436814
Median: mb = 16.09334769394
Median: mc = 11.79898261226

Inradius: r = 4.65547466813
Circumradius: R = 11.02881690602

Vertex coordinates: A[22; 0] B[0; 0] C[8.09109090909; 11.42552873085]
Centroid: CG[10.03303030303; 3.80884291028]
Coordinates of the circumscribed circle: U[11; 0.78877263614]
Coordinates of the inscribed circle: I[9; 4.65547466813]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.5999431246° = 140°35'58″ = 0.68876696519 rad
∠ B' = β' = 125.3054524996° = 125°18'16″ = 0.95546161248 rad
∠ C' = γ' = 94.09660437582° = 94°5'46″ = 1.49993068769 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.