10 21 30 triangle

Obtuse scalene triangle.

Sides: a = 10   b = 21   c = 30

Area: T = 54.49771329521
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 9.96326853346° = 9°57'46″ = 0.17438816614 rad
Angle ∠ B = β = 21.30438736689° = 21°18'14″ = 0.3721822739 rad
Angle ∠ C = γ = 148.7333440996° = 148°44' = 2.59658882532 rad

Height: ha = 10.89994265904
Height: hb = 5.19902031383
Height: hc = 3.63331421968

Median: ma = 25.40766920318
Median: mb = 19.74220870224
Median: mc = 6.74553687816

Inradius: r = 1.78767912443
Circumradius: R = 28.9010602925

Vertex coordinates: A[30; 0] B[0; 0] C[9.31766666667; 3.63331421968]
Centroid: CG[13.10655555556; 1.21110473989]
Coordinates of the circumscribed circle: U[15; -24.70331344049]
Coordinates of the inscribed circle: I[9.5; 1.78767912443]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.0377314665° = 170°2'14″ = 0.17438816614 rad
∠ B' = β' = 158.6966126331° = 158°41'46″ = 0.3721822739 rad
∠ C' = γ' = 31.26765590035° = 31°16' = 2.59658882532 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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