18 23 24 triangle

Acute scalene triangle.

Sides: a = 18   b = 23   c = 24

Area: T = 195.0732903039
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 44.97440038116° = 44°58'26″ = 0.78549444443 rad
Angle ∠ B = β = 64.57106288227° = 64°34'14″ = 1.1276970073 rad
Angle ∠ C = γ = 70.45553673657° = 70°27'19″ = 1.23296781362 rad

Height: ha = 21.67547670043
Height: hb = 16.96328611338
Height: hc = 16.25660752532

Median: ma = 21.71440507506
Median: mb = 17.826554347
Median: mc = 16.8087736314

Inradius: r = 6.00222431704
Circumradius: R = 12.73437008949

Vertex coordinates: A[24; 0] B[0; 0] C[7.72991666667; 16.25660752532]
Centroid: CG[10.57663888889; 5.41986917511]
Coordinates of the circumscribed circle: U[12; 4.26599458308]
Coordinates of the inscribed circle: I[9.5; 6.00222431704]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.0265996188° = 135°1'34″ = 0.78549444443 rad
∠ B' = β' = 115.4299371177° = 115°25'46″ = 1.1276970073 rad
∠ C' = γ' = 109.5454632634° = 109°32'41″ = 1.23296781362 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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