# 22 23 30 triangle

### Acute scalene triangle.

Sides: a = 22   b = 23   c = 30

Area: T = 251.4187854378
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 46.78114870466° = 46°46'53″ = 0.81664909779 rad
Angle ∠ B = β = 49.63295336611° = 49°37'46″ = 0.86661987686 rad
Angle ∠ C = γ = 83.58989792924° = 83°35'20″ = 1.4598902907 rad

Height: ha = 22.85661685798
Height: hb = 21.86224221198
Height: hc = 16.76111902919

Median: ma = 24.36218554302
Median: mb = 23.65990363286
Median: mc = 16.77879617356

Inradius: r = 6.70444761167
Circumradius: R = 15.0944393393

Vertex coordinates: A[30; 0] B[0; 0] C[14.25; 16.76111902919]
Centroid: CG[14.75; 5.58770634306]
Coordinates of the circumscribed circle: U[15; 1.68554411595]
Coordinates of the inscribed circle: I[14.5; 6.70444761167]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.2198512953° = 133°13'7″ = 0.81664909779 rad
∠ B' = β' = 130.3770466339° = 130°22'14″ = 0.86661987686 rad
∠ C' = γ' = 96.41110207076° = 96°24'40″ = 1.4598902907 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.