# 22 24 27 triangle

### Acute scalene triangle.

Sides: a = 22   b = 24   c = 27

Area: T = 250.6965906428
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 50.69220933471° = 50°41'32″ = 0.88547439336 rad
Angle ∠ B = β = 57.57549908583° = 57°34'30″ = 1.00548731573 rad
Angle ∠ C = γ = 71.73329157946° = 71°43'59″ = 1.25219755627 rad

Height: ha = 22.7910536948
Height: hb = 20.89113255357
Height: hc = 18.57700671429

Median: ma = 23.05442837668
Median: mb = 21.50658131676
Median: mc = 18.6488056199

Inradius: r = 6.8688380998
Circumradius: R = 14.21664267888

Vertex coordinates: A[27; 0] B[0; 0] C[11.79662962963; 18.57700671429]
Centroid: CG[12.93220987654; 6.1990022381]
Coordinates of the circumscribed circle: U[13.5; 4.45660958969]
Coordinates of the inscribed circle: I[12.5; 6.8688380998]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.3087906653° = 129°18'28″ = 0.88547439336 rad
∠ B' = β' = 122.4255009142° = 122°25'30″ = 1.00548731573 rad
∠ C' = γ' = 108.2677084205° = 108°16'1″ = 1.25219755627 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.