11 20 22 triangle

Acute scalene triangle.

Sides: a = 11   b = 20   c = 22

Area: T = 109.6110389562
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 29.88329034608° = 29°52'58″ = 0.52215550554 rad
Angle ∠ B = β = 64.94108471732° = 64°56'27″ = 1.13334316022 rad
Angle ∠ C = γ = 85.1766249366° = 85°10'34″ = 1.48766059959 rad

Height: ha = 19.92991617386
Height: hb = 10.96110389562
Height: hc = 9.96545808693

Median: ma = 20.29216238877
Median: mb = 14.23302494708
Median: mc = 11.8111011811

Inradius: r = 4.13662411156
Circumradius: R = 11.03990995309

Vertex coordinates: A[22; 0] B[0; 0] C[4.65990909091; 9.96545808693]
Centroid: CG[8.88663636364; 3.32215269564]
Coordinates of the circumscribed circle: U[11; 0.92882879151]
Coordinates of the inscribed circle: I[6.5; 4.13662411156]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.1177096539° = 150°7'2″ = 0.52215550554 rad
∠ B' = β' = 115.0599152827° = 115°3'33″ = 1.13334316022 rad
∠ C' = γ' = 94.8243750634° = 94°49'25″ = 1.48766059959 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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