# 16 21 23 triangle

### Acute scalene triangle.

Sides: a = 16   b = 21   c = 23

Area: T = 162.6655300541
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 42.34326054522° = 42°20'33″ = 0.7399017879 rad
Angle ∠ B = β = 62.13549067337° = 62°8'6″ = 1.08444587029 rad
Angle ∠ C = γ = 75.52224878141° = 75°31'21″ = 1.31881160717 rad

Height: ha = 20.33331625676
Height: hb = 15.49219333848
Height: hc = 14.14548087427

Median: ma = 20.51882845287
Median: mb = 16.88002976164
Median: mc = 14.70554411699

Inradius: r = 5.42221766847
Circumradius: R = 11.87771489284

Vertex coordinates: A[23; 0] B[0; 0] C[7.47882608696; 14.14548087427]
Centroid: CG[10.15994202899; 4.71549362476]
Coordinates of the circumscribed circle: U[11.5; 2.96992872321]
Coordinates of the inscribed circle: I[9; 5.42221766847]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.6577394548° = 137°39'27″ = 0.7399017879 rad
∠ B' = β' = 117.8655093266° = 117°51'54″ = 1.08444587029 rad
∠ C' = γ' = 104.4787512186° = 104°28'39″ = 1.31881160717 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.