# 11 21 22 triangle

### Acute scalene triangle.

Sides: a = 11   b = 21   c = 22

Area: T = 113.8421995766
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 29.52662652473° = 29°31'35″ = 0.51553305444 rad
Angle ∠ B = β = 70.19436024552° = 70°11'37″ = 1.22551094767 rad
Angle ∠ C = γ = 80.28801322976° = 80°16'48″ = 1.40111526325 rad

Height: ha = 20.69985446847
Height: hb = 10.84220948349
Height: hc = 10.34992723424

Median: ma = 20.79106228863
Median: mb = 13.86554246239
Median: mc = 12.64991106407

Inradius: r = 4.21663702136
Circumradius: R = 11.1660204909

Vertex coordinates: A[22; 0] B[0; 0] C[3.72772727273; 10.34992723424]
Centroid: CG[8.57657575758; 3.45497574475]
Coordinates of the circumscribed circle: U[11; 1.88441904392]
Coordinates of the inscribed circle: I[6; 4.21663702136]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.4743734753° = 150°28'25″ = 0.51553305444 rad
∠ B' = β' = 109.8066397545° = 109°48'23″ = 1.22551094767 rad
∠ C' = γ' = 99.72198677024° = 99°43'12″ = 1.40111526325 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.