# 14 20 22 triangle

### Acute scalene triangle.

Sides: a = 14   b = 20   c = 22

Area: T = 137.1711425596
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 38.57326508222° = 38°34'22″ = 0.67332197581 rad
Angle ∠ B = β = 62.96443082106° = 62°57'52″ = 1.09989344895 rad
Angle ∠ C = γ = 78.46330409672° = 78°27'47″ = 1.3699438406 rad

Height: ha = 19.59659179423
Height: hb = 13.71771425596
Height: hc = 12.47701295996

Median: ma = 19.82442276016
Median: mb = 15.49219333848
Median: mc = 13.30441346957

Inradius: r = 4.89989794856
Circumradius: R = 11.22768279878

Vertex coordinates: A[22; 0] B[0; 0] C[6.36436363636; 12.47701295996]
Centroid: CG[9.45545454545; 4.15767098665]
Coordinates of the circumscribed circle: U[11; 2.24553655976]
Coordinates of the inscribed circle: I[8; 4.89989794856]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.4277349178° = 141°25'38″ = 0.67332197581 rad
∠ B' = β' = 117.0365691789° = 117°2'8″ = 1.09989344895 rad
∠ C' = γ' = 101.5376959033° = 101°32'13″ = 1.3699438406 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.