21 23 27 triangle

Acute scalene triangle.

Sides: a = 21   b = 23   c = 27

Area: T = 233.8643608755
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 48.86769371798° = 48°52'1″ = 0.85328889492 rad
Angle ∠ B = β = 55.58799483259° = 55°34'48″ = 0.97700530964 rad
Angle ∠ C = γ = 75.55331144943° = 75°33'11″ = 1.31986506081 rad

Height: ha = 22.27327246434
Height: hb = 20.33659659787
Height: hc = 17.32332302782

Median: ma = 22.77660839479
Median: mb = 21.2787922831
Median: mc = 17.43997126413

Inradius: r = 6.58877072889
Circumradius: R = 13.94108179723

Vertex coordinates: A[27; 0] B[0; 0] C[11.87703703704; 17.32332302782]
Centroid: CG[12.95767901235; 5.77444100927]
Coordinates of the circumscribed circle: U[13.5; 3.47879887488]
Coordinates of the inscribed circle: I[12.5; 6.58877072889]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.133306282° = 131°7'59″ = 0.85328889492 rad
∠ B' = β' = 124.4220051674° = 124°25'12″ = 0.97700530964 rad
∠ C' = γ' = 104.4476885506° = 104°26'49″ = 1.31986506081 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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