# 16 20 23 triangle

### Acute scalene triangle.

Sides: a = 16   b = 20   c = 23

Area: T = 156.8188166996
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 42.98658810327° = 42°59'9″ = 0.75502451559 rad
Angle ∠ B = β = 58.46597221093° = 58°27'35″ = 1.02203146306 rad
Angle ∠ C = γ = 78.55443968581° = 78°33'16″ = 1.37110328671 rad

Height: ha = 19.60222708745
Height: hb = 15.68218166996
Height: hc = 13.63663623475

Median: ma = 20.01224960962
Median: mb = 17.10326313765
Median: mc = 13.99110685796

Inradius: r = 5.31658700677
Circumradius: R = 11.73333344423

Vertex coordinates: A[23; 0] B[0; 0] C[8.37695652174; 13.63663623475]
Centroid: CG[10.45765217391; 4.54554541158]
Coordinates of the circumscribed circle: U[11.5; 2.32883335534]
Coordinates of the inscribed circle: I[9.5; 5.31658700677]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.0144118967° = 137°51″ = 0.75502451559 rad
∠ B' = β' = 121.5440277891° = 121°32'25″ = 1.02203146306 rad
∠ C' = γ' = 101.4465603142° = 101°26'44″ = 1.37110328671 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.