10 24 24 triangle

Acute isosceles triangle.

Sides: a = 10   b = 24   c = 24

Area: T = 117.3676945943
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 24.04993983611° = 24°2'58″ = 0.42197411845 rad
Angle ∠ B = β = 77.97553008194° = 77°58'31″ = 1.36109257345 rad
Angle ∠ C = γ = 77.97553008194° = 77°58'31″ = 1.36109257345 rad

Height: ha = 23.47333891886
Height: hb = 9.78105788286
Height: hc = 9.78105788286

Median: ma = 23.47333891886
Median: mb = 13.92883882772
Median: mc = 13.92883882772

Inradius: r = 4.0477136067
Circumradius: R = 12.26992124979

Vertex coordinates: A[24; 0] B[0; 0] C[2.08333333333; 9.78105788286]
Centroid: CG[8.69444444444; 3.26601929429]
Coordinates of the circumscribed circle: U[12; 2.55660859371]
Coordinates of the inscribed circle: I[5; 4.0477136067]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.9510601639° = 155°57'2″ = 0.42197411845 rad
∠ B' = β' = 102.0254699181° = 102°1'29″ = 1.36109257345 rad
∠ C' = γ' = 102.0254699181° = 102°1'29″ = 1.36109257345 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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