12 21 24 triangle

Acute scalene triangle.

Sides: a = 12   b = 21   c = 24

Area: T = 125.9879909112
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 29.99547255274° = 29°59'41″ = 0.52435067187 rad
Angle ∠ B = β = 61.02884677763° = 61°1'42″ = 1.06551477001 rad
Angle ∠ C = γ = 88.97768066963° = 88°58'37″ = 1.55329382348 rad

Height: ha = 20.99766515188
Height: hb = 11.99880865821
Height: hc = 10.49883257594

Median: ma = 21.73770651193
Median: mb = 15.80334806293
Median: mc = 12.1866057607

Inradius: r = 4.42203476882
Circumradius: R = 12.0021913723

Vertex coordinates: A[24; 0] B[0; 0] C[5.81325; 10.49883257594]
Centroid: CG[9.93875; 3.49994419198]
Coordinates of the circumscribed circle: U[12; 0.21443198879]
Coordinates of the inscribed circle: I[7.5; 4.42203476882]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0055274473° = 150°19″ = 0.52435067187 rad
∠ B' = β' = 118.9721532224° = 118°58'18″ = 1.06551477001 rad
∠ C' = γ' = 91.02331933037° = 91°1'23″ = 1.55329382348 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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