13 20 20 triangle

Acute isosceles triangle.

Sides: a = 13   b = 20   c = 20

Area: T = 122.9432822076
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 37.93111499777° = 37°55'52″ = 0.66220234562 rad
Angle ∠ B = β = 71.03444250112° = 71°2'4″ = 1.24397845987 rad
Angle ∠ C = γ = 71.03444250112° = 71°2'4″ = 1.24397845987 rad

Height: ha = 18.91442803194
Height: hb = 12.29442822076
Height: hc = 12.29442822076

Median: ma = 18.91442803194
Median: mb = 13.58330777072
Median: mc = 13.58330777072

Inradius: r = 4.63993517765
Circumradius: R = 10.57440211429

Vertex coordinates: A[20; 0] B[0; 0] C[4.225; 12.29442822076]
Centroid: CG[8.075; 4.09880940692]
Coordinates of the circumscribed circle: U[10; 3.43765568714]
Coordinates of the inscribed circle: I[6.5; 4.63993517765]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.0698850022° = 142°4'8″ = 0.66220234562 rad
∠ B' = β' = 108.9665574989° = 108°57'56″ = 1.24397845987 rad
∠ C' = γ' = 108.9665574989° = 108°57'56″ = 1.24397845987 rad

Calculate another triangle




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.


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