# 22 23 27 triangle

### Acute scalene triangle.

Sides: a = 22   b = 23   c = 27

Area: T = 242.8333276138
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 51.45106555599° = 51°27'2″ = 0.89879833418 rad
Angle ∠ B = β = 54.84772970332° = 54°50'50″ = 0.9577265919 rad
Angle ∠ C = γ = 73.70220474069° = 73°42'7″ = 1.28663433927 rad

Height: ha = 22.07657523762
Height: hb = 21.11659370555
Height: hc = 17.98876500843

Median: ma = 22.53988553392
Median: mb = 21.77772817404
Median: mc = 18.00769431054

Inradius: r = 6.74553687816
Circumradius: R = 14.06552057836

Vertex coordinates: A[27; 0] B[0; 0] C[12.66766666667; 17.98876500843]
Centroid: CG[13.22222222222; 5.99658833614]
Coordinates of the circumscribed circle: U[13.5; 3.94771526112]
Coordinates of the inscribed circle: I[13; 6.74553687816]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.549934444° = 128°32'58″ = 0.89879833418 rad
∠ B' = β' = 125.1532702967° = 125°9'10″ = 0.9577265919 rad
∠ C' = γ' = 106.2987952593° = 106°17'53″ = 1.28663433927 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.