18 20 21 triangle

Acute scalene triangle.

Sides: a = 18   b = 20   c = 21

Area: T = 165.5132650574
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 52.01334707109° = 52°48″ = 0.90878063193 rad
Angle ∠ B = β = 61.13112883899° = 61°7'53″ = 1.06769422584 rad
Angle ∠ C = γ = 66.85552408992° = 66°51'19″ = 1.16768440759 rad

Height: ha = 18.39902945082
Height: hb = 16.55112650574
Height: hc = 15.76331095785

Median: ma = 18.42655257727
Median: mb = 16.8087736314
Median: mc = 15.86766316526

Inradius: r = 5.61105983245
Circumradius: R = 11.41990667206

Vertex coordinates: A[21; 0] B[0; 0] C[8.69904761905; 15.76331095785]
Centroid: CG[9.89768253968; 5.25443698595]
Coordinates of the circumscribed circle: U[10.5; 4.48883276138]
Coordinates of the inscribed circle: I[9.5; 5.61105983245]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.9876529289° = 127°59'12″ = 0.90878063193 rad
∠ B' = β' = 118.869871161° = 118°52'7″ = 1.06769422584 rad
∠ C' = γ' = 113.1454759101° = 113°8'41″ = 1.16768440759 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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