# 10 22 22 triangle

### Acute isosceles triangle.

Sides: a = 10   b = 22   c = 22

Area: T = 107.1211426428
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 26.27331175739° = 26°16'23″ = 0.45985524064 rad
Angle ∠ B = β = 76.86334412131° = 76°51'48″ = 1.34215201236 rad
Angle ∠ C = γ = 76.86334412131° = 76°51'48″ = 1.34215201236 rad

Height: ha = 21.42442852856
Height: hb = 9.73883114935
Height: hc = 9.73883114935

Median: ma = 21.42442852856
Median: mb = 13.07766968306
Median: mc = 13.07766968306

Inradius: r = 3.96774602381
Circumradius: R = 11.29655926778

Vertex coordinates: A[22; 0] B[0; 0] C[2.27327272727; 9.73883114935]
Centroid: CG[8.09109090909; 3.24661038312]
Coordinates of the circumscribed circle: U[11; 2.56771801541]
Coordinates of the inscribed circle: I[5; 3.96774602381]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.7276882426° = 153°43'37″ = 0.45985524064 rad
∠ B' = β' = 103.1376558787° = 103°8'12″ = 1.34215201236 rad
∠ C' = γ' = 103.1376558787° = 103°8'12″ = 1.34215201236 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.