# 16 18 23 triangle

### Acute scalene triangle.

Sides: a = 16   b = 18   c = 23

Area: T = 143.4344436242
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 43.86216975242° = 43°51'42″ = 0.76655310373 rad
Angle ∠ B = β = 51.21880182686° = 51°13'5″ = 0.89439230551 rad
Angle ∠ C = γ = 84.92202842073° = 84°55'13″ = 1.48221385611 rad

Height: ha = 17.92993045302
Height: hb = 15.93771595824
Height: hc = 12.47325596732

Median: ma = 19.03994327647
Median: mb = 17.64993625947
Median: mc = 12.56598566871

Inradius: r = 5.03327872366
Circumradius: R = 11.54553446424

Vertex coordinates: A[23; 0] B[0; 0] C[10.02217391304; 12.47325596732]
Centroid: CG[11.00772463768; 4.15875198911]
Coordinates of the circumscribed circle: U[11.5; 1.02222440569]
Coordinates of the inscribed circle: I[10.5; 5.03327872366]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.1388302476° = 136°8'18″ = 0.76655310373 rad
∠ B' = β' = 128.7821981731° = 128°46'55″ = 0.89439230551 rad
∠ C' = γ' = 95.08797157927° = 95°4'47″ = 1.48221385611 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.