# 11 22 24 triangle

### Acute scalene triangle.

Sides: a = 11   b = 22   c = 24

Area: T = 120.7832604294
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 27.227653999° = 27°13'36″ = 0.47551927668 rad
Angle ∠ B = β = 66.20985290545° = 66°12'31″ = 1.15655568249 rad
Angle ∠ C = γ = 86.56549309555° = 86°33'54″ = 1.51108430619 rad

Height: ha = 21.9660473508
Height: hb = 10.9880236754
Height: hc = 10.06552170245

Median: ma = 22.35550889061
Median: mb = 15.0833103129
Median: mc = 12.5989678312

Inradius: r = 4.23879861156
Circumradius: R = 12.02215987103

Vertex coordinates: A[24; 0] B[0; 0] C[4.43875; 10.06552170245]
Centroid: CG[9.47991666667; 3.35550723415]
Coordinates of the circumscribed circle: U[12; 0.72203024021]
Coordinates of the inscribed circle: I[6.5; 4.23879861156]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.773346001° = 152°46'24″ = 0.47551927668 rad
∠ B' = β' = 113.7911470945° = 113°47'29″ = 1.15655568249 rad
∠ C' = γ' = 93.43550690445° = 93°26'6″ = 1.51108430619 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.