5 10 11 triangle

Acute scalene triangle.

Sides: a = 5   b = 10   c = 11

Area: T = 24.98799919936
Perimeter: p = 26
Semiperimeter: s = 13

Angle ∠ A = α = 27.01222939589° = 27°44″ = 0.47114534681 rad
Angle ∠ B = β = 65.28801488171° = 65°16'49″ = 1.13993535331 rad
Angle ∠ C = γ = 87.7087557224° = 87°42'27″ = 1.53107856524 rad

Height: ha = 9.99219967974
Height: hb = 4.99659983987
Height: hc = 4.54218167261

Median: ma = 10.21102889283
Median: mb = 6.92882032303
Median: mc = 5.67989083458

Inradius: r = 1.92215378457
Circumradius: R = 5.5044405287

Vertex coordinates: A[11; 0] B[0; 0] C[2.09109090909; 4.54218167261]
Centroid: CG[4.36436363636; 1.51439389087]
Coordinates of the circumscribed circle: U[5.5; 0.22201762115]
Coordinates of the inscribed circle: I[3; 1.92215378457]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.9887706041° = 152°59'16″ = 0.47114534681 rad
∠ B' = β' = 114.7219851183° = 114°43'11″ = 1.13993535331 rad
∠ C' = γ' = 92.2922442776° = 92°17'33″ = 1.53107856524 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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