10 23 24 triangle

Acute scalene triangle.

Sides: a = 10   b = 23   c = 24

Area: T = 114.2344134566
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 24.45495467105° = 24°26'58″ = 0.42767250907 rad
Angle ∠ B = β = 72.16766172902° = 72°10' = 1.26595450817 rad
Angle ∠ C = γ = 83.38438359994° = 83°23'2″ = 1.45553224811 rad

Height: ha = 22.84768269132
Height: hb = 9.93334030057
Height: hc = 9.52195112138

Median: ma = 22.96773681557
Median: mb = 14.34439882878
Median: mc = 13.05875648572

Inradius: r = 4.00882152479
Circumradius: R = 12.08804521805

Vertex coordinates: A[24; 0] B[0; 0] C[3.06325; 9.52195112138]
Centroid: CG[9.02108333333; 3.17331704046]
Coordinates of the circumscribed circle: U[12; 1.3921878186]
Coordinates of the inscribed circle: I[5.5; 4.00882152479]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.555045329° = 155°33'2″ = 0.42767250907 rad
∠ B' = β' = 107.833338271° = 107°50' = 1.26595450817 rad
∠ C' = γ' = 96.61661640006° = 96°36'58″ = 1.45553224811 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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