# 16 20 22 triangle

### Acute scalene triangle.

Sides: a = 16   b = 20   c = 22

Area: T = 154.1143594468
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 44.46884446032° = 44°28'6″ = 0.77661207716 rad
Angle ∠ B = β = 61.12114535039° = 61°7'17″ = 1.06767706072 rad
Angle ∠ C = γ = 74.41101018929° = 74°24'36″ = 1.29987012748 rad

Height: ha = 19.26441993086
Height: hb = 15.41113594468
Height: hc = 14.01103267699

Median: ma = 19.44222220952
Median: mb = 16.43216767252
Median: mc = 14.38774945699

Inradius: r = 5.31442618782
Circumradius: R = 11.4220147626

Vertex coordinates: A[22; 0] B[0; 0] C[7.72772727273; 14.01103267699]
Centroid: CG[9.90990909091; 4.67701089233]
Coordinates of the circumscribed circle: U[11; 3.06991646745]
Coordinates of the inscribed circle: I[9; 5.31442618782]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.5321555397° = 135°31'54″ = 0.77661207716 rad
∠ B' = β' = 118.8798546496° = 118°52'43″ = 1.06767706072 rad
∠ C' = γ' = 105.5989898107° = 105°35'24″ = 1.29987012748 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.