15 24 27 triangle

Acute scalene triangle.

Sides: a = 15   b = 24   c = 27

Area: T = 179.0987738679
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 33.55773097619° = 33°33'26″ = 0.58656855435 rad
Angle ∠ B = β = 62.18218607153° = 62°10'55″ = 1.08552782045 rad
Angle ∠ C = γ = 84.26108295227° = 84°15'39″ = 1.47106289056 rad

Height: ha = 23.88796984906
Height: hb = 14.92548115566
Height: hc = 13.26664991614

Median: ma = 24.41882308941
Median: mb = 18.24882875909
Median: mc = 14.77332867027

Inradius: r = 5.42772042024
Circumradius: R = 13.5688010506

Vertex coordinates: A[27; 0] B[0; 0] C[7; 13.26664991614]
Centroid: CG[11.33333333333; 4.42221663871]
Coordinates of the circumscribed circle: U[13.5; 1.35768010506]
Coordinates of the inscribed circle: I[9; 5.42772042024]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.4432690238° = 146°26'34″ = 0.58656855435 rad
∠ B' = β' = 117.8188139285° = 117°49'5″ = 1.08552782045 rad
∠ C' = γ' = 95.73991704773° = 95°44'21″ = 1.47106289056 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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