# 16 17 23 triangle

### Acute scalene triangle.

Sides: a = 16   b = 17   c = 23

Area: T = 135.9411163744
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 44.05552116096° = 44°3'19″ = 0.76989084953 rad
Angle ∠ B = β = 47.63302014306° = 47°37'49″ = 0.83113038384 rad
Angle ∠ C = γ = 88.31545869598° = 88°18'53″ = 1.541138032 rad

Height: ha = 16.9932645468
Height: hb = 15.99330780875
Height: hc = 11.82109707603

Median: ma = 18.5744175621
Median: mb = 17.89655301682
Median: mc = 11.84327192823

Inradius: r = 4.85550415623
Circumradius: R = 11.50549772779

Vertex coordinates: A[23; 0] B[0; 0] C[10.78326086957; 11.82109707603]
Centroid: CG[11.26108695652; 3.94403235868]
Coordinates of the circumscribed circle: U[11.5; 0.33883816846]
Coordinates of the inscribed circle: I[11; 4.85550415623]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.945478839° = 135°56'41″ = 0.76989084953 rad
∠ B' = β' = 132.3769798569° = 132°22'11″ = 0.83113038384 rad
∠ C' = γ' = 91.68554130402° = 91°41'7″ = 1.541138032 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.