# 22 28 30 triangle

### Acute scalene triangle.

Sides: a = 22   b = 28   c = 30

Area: T = 293.9398769134
Perimeter: p = 80
Semiperimeter: s = 40

Angle ∠ A = α = 44.41553085972° = 44°24'55″ = 0.77551933733 rad
Angle ∠ B = β = 62.96443082106° = 62°57'52″ = 1.09989344895 rad
Angle ∠ C = γ = 72.62203831922° = 72°37'13″ = 1.26774647908 rad

Height: ha = 26.72217062849
Height: hb = 20.99656263667
Height: hc = 19.59659179423

Median: ma = 26.85114431642
Median: mb = 22.27110574513
Median: mc = 20.22437484162

Inradius: r = 7.34884692283
Circumradius: R = 15.71875591829

Vertex coordinates: A[30; 0] B[0; 0] C[10; 19.59659179423]
Centroid: CG[13.33333333333; 6.53219726474]
Coordinates of the circumscribed circle: U[15; 4.69548553403]
Coordinates of the inscribed circle: I[12; 7.34884692283]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.5854691403° = 135°35'5″ = 0.77551933733 rad
∠ B' = β' = 117.0365691789° = 117°2'8″ = 1.09989344895 rad
∠ C' = γ' = 107.3879616808° = 107°22'47″ = 1.26774647908 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.