# 11 22 23 triangle

### Acute scalene triangle.

Sides: a = 11   b = 22   c = 23

Area: T = 119.499895397
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 28.18655107547° = 28°11'8″ = 0.4921929964 rad
Angle ∠ B = β = 70.84987358032° = 70°50'55″ = 1.23765437106 rad
Angle ∠ C = γ = 80.96657534421° = 80°57'57″ = 1.41331189789 rad

Height: ha = 21.72770825401
Height: hb = 10.864354127
Height: hc = 10.39112133887

Median: ma = 21.82331528428
Median: mb = 14.28328568571
Median: mc = 13.04879883507

Inradius: r = 4.26878197847
Circumradius: R = 11.64444533928

Vertex coordinates: A[23; 0] B[0; 0] C[3.60986956522; 10.39112133887]
Centroid: CG[8.87695652174; 3.46437377962]
Coordinates of the circumscribed circle: U[11.5; 1.82884678881]
Coordinates of the inscribed circle: I[6; 4.26878197847]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.8144489245° = 151°48'52″ = 0.4921929964 rad
∠ B' = β' = 109.1511264197° = 109°9'5″ = 1.23765437106 rad
∠ C' = γ' = 99.03442465579° = 99°2'3″ = 1.41331189789 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.