23 27 28 triangle

Acute scalene triangle.

Sides: a = 23   b = 27   c = 28

Area: T = 286.9988257834
Perimeter: p = 78
Semiperimeter: s = 39

Angle ∠ A = α = 49.39985335° = 49°23'55″ = 0.86221670552 rad
Angle ∠ B = β = 63.03769273045° = 63°2'13″ = 1.11002019318 rad
Angle ∠ C = γ = 67.56545391954° = 67°33'52″ = 1.17992236666 rad

Height: ha = 24.95663702465
Height: hb = 21.259913021
Height: hc = 20.54998755596

Median: ma = 24.98549954973
Median: mb = 21.77772817404
Median: mc = 20.80986520467

Inradius: r = 7.35989296881
Circumradius: R = 15.14664334063

Vertex coordinates: A[28; 0] B[0; 0] C[10.42985714286; 20.54998755596]
Centroid: CG[12.81095238095; 6.83332918532]
Coordinates of the circumscribed circle: U[14; 5.78105228942]
Coordinates of the inscribed circle: I[12; 7.35989296881]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.60114665° = 130°36'5″ = 0.86221670552 rad
∠ B' = β' = 116.9633072695° = 116°57'47″ = 1.11002019318 rad
∠ C' = γ' = 112.4355460805° = 112°26'8″ = 1.17992236666 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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