15 21 22 triangle

Acute scalene triangle.

Sides: a = 15   b = 21   c = 22

Area: T = 150.78546146
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 40.74990543775° = 40°44'57″ = 0.7111205166 rad
Angle ∠ B = β = 66.04223927371° = 66°2'33″ = 1.15326571992 rad
Angle ∠ C = γ = 73.20985528854° = 73°12'31″ = 1.27877302885 rad

Height: ha = 20.105461528
Height: hb = 14.36604394857
Height: hc = 13.70876922363

Median: ma = 20.15656443707
Median: mb = 15.62884996081
Median: mc = 14.56602197786

Inradius: r = 5.1999469469
Circumradius: R = 11.49898990497

Vertex coordinates: A[22; 0] B[0; 0] C[6.09109090909; 13.70876922363]
Centroid: CG[9.36436363636; 4.56992307454]
Coordinates of the circumscribed circle: U[11; 3.31993041699]
Coordinates of the inscribed circle: I[8; 5.1999469469]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.2510945623° = 139°15'3″ = 0.7111205166 rad
∠ B' = β' = 113.9587607263° = 113°57'27″ = 1.15326571992 rad
∠ C' = γ' = 106.7911447115° = 106°47'29″ = 1.27877302885 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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