# 20 20 22 triangle

### Acute isosceles triangle.

Sides: a = 20   b = 20   c = 22

Area: T = 183.7366223973
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 56.63329870308° = 56°37'59″ = 0.98884320889 rad
Angle ∠ B = β = 56.63329870308° = 56°37'59″ = 0.98884320889 rad
Angle ∠ C = γ = 66.73440259385° = 66°44'3″ = 1.16547284757 rad

Height: ha = 18.37436223973
Height: hb = 18.37436223973
Height: hc = 16.70332930885

Median: ma = 18.49332420089
Median: mb = 18.49332420089
Median: mc = 16.70332930885

Inradius: r = 5.92769749669
Circumradius: R = 11.97436868018

Vertex coordinates: A[22; 0] B[0; 0] C[11; 16.70332930885]
Centroid: CG[11; 5.56877643628]
Coordinates of the circumscribed circle: U[11; 4.73296062867]
Coordinates of the inscribed circle: I[11; 5.92769749669]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.3677012969° = 123°22'1″ = 0.98884320889 rad
∠ B' = β' = 123.3677012969° = 123°22'1″ = 0.98884320889 rad
∠ C' = γ' = 113.2665974062° = 113°15'57″ = 1.16547284757 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.