in triangle abc, a=16 m, b=18m, and c=20 m. find the area

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26-01-2018
Mathematics

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in triangle abc, a=16 m, b=18m, and c=20 m. find the area

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zrh2sfo zrh2sfo · Answer 1 · 2018-01-26T20:06:37+01:00

Acute scalene triangle.Sides: a = 16 b = 18 c = 20

Area: T = 136.788

Perimeter: p = 54

Semiperimeter: s = 27

Angle ∠ A = α = 49.458° = 49°27'30″ = 0.863 rad

Angle ∠ B = β = 58.752° = 58°45'6″ = 1.025 rad

Angle ∠ C = γ = 71.79° = 71°47'24″ = 1.253 rad

Height: ha = 17.099

Height: hb = 15.199

Height: hc = 13.679

Median: ma = 17.263

Median: mb = 15.716

Median: mc = 13.784

Inradius: r = 5.066

Circumradius: R = 10.527

Vertex coordinates: A[20; 0] B[0; 0] C[8.3; 13.679]

Centroid: CG[9.433; 4.56]

Coordinates of the circumcenter: U[10; 3.29]