10 13 15 triangle

Acute scalene triangle.

Sides: a = 10   b = 13   c = 15

Area: T = 64.06224695122
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 41.07553488744° = 41°4'31″ = 0.71769000793 rad
Angle ∠ B = β = 58.66877485024° = 58°40'4″ = 1.02439453761 rad
Angle ∠ C = γ = 80.25769026232° = 80°15'25″ = 1.40107471982 rad

Height: ha = 12.81224939024
Height: hb = 9.85657645403
Height: hc = 8.54216626016

Median: ma = 13.11548770486
Median: mb = 10.96658560997
Median: mc = 8.84659030065

Inradius: r = 3.37217089217
Circumradius: R = 7.61097597191

Vertex coordinates: A[15; 0] B[0; 0] C[5.2; 8.54216626016]
Centroid: CG[6.73333333333; 2.84772208672]
Coordinates of the circumscribed circle: U[7.5; 1.28878054909]
Coordinates of the inscribed circle: I[6; 3.37217089217]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.9254651126° = 138°55'29″ = 0.71769000793 rad
∠ B' = β' = 121.3322251498° = 121°19'56″ = 1.02439453761 rad
∠ C' = γ' = 99.74330973768° = 99°44'35″ = 1.40107471982 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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