12 18 19 triangle

Acute scalene triangle.

Sides: a = 12   b = 18   c = 19

Area: T = 104.6354781502
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 37.72769622912° = 37°43'37″ = 0.65884597088 rad
Angle ∠ B = β = 66.61436132504° = 66°36'49″ = 1.16326268779 rad
Angle ∠ C = γ = 75.65994244584° = 75°39'34″ = 1.3210506067 rad

Height: ha = 17.43991302504
Height: hb = 11.62660868336
Height: hc = 11.01441875265

Median: ma = 17.50771414
Median: mb = 13.09658008537
Median: mc = 11.99895788083

Inradius: r = 4.27108074083
Circumradius: R = 9.80655348831

Vertex coordinates: A[19; 0] B[0; 0] C[4.76331578947; 11.01441875265]
Centroid: CG[7.92110526316; 3.67113958422]
Coordinates of the circumscribed circle: U[9.5; 2.42986857233]
Coordinates of the inscribed circle: I[6.5; 4.27108074083]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.2733037709° = 142°16'23″ = 0.65884597088 rad
∠ B' = β' = 113.386638675° = 113°23'11″ = 1.16326268779 rad
∠ C' = γ' = 104.3410575542° = 104°20'26″ = 1.3210506067 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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