10 13 20 triangle

Obtuse scalene triangle.

Sides: a = 10   b = 13   c = 20

Area: T = 56.14765715783
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 25.58879901207° = 25°35'17″ = 0.44765946766 rad
Angle ∠ B = β = 34.15772224785° = 34°9'26″ = 0.59661559956 rad
Angle ∠ C = γ = 120.2554787401° = 120°15'17″ = 2.09988419814 rad

Height: ha = 11.22993143157
Height: hb = 8.6387934089
Height: hc = 5.61546571578

Median: ma = 16.10990036936
Median: mb = 14.41435353054
Median: mc = 5.87436700622

Inradius: r = 2.61114684455
Circumradius: R = 11.57768422137

Vertex coordinates: A[20; 0] B[0; 0] C[8.275; 5.61546571578]
Centroid: CG[9.425; 1.87215523859]
Coordinates of the circumscribed circle: U[10; -5.8332947423]
Coordinates of the inscribed circle: I[8.5; 2.61114684455]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.4122009879° = 154°24'43″ = 0.44765946766 rad
∠ B' = β' = 145.8432777522° = 145°50'34″ = 0.59661559956 rad
∠ C' = γ' = 59.74552125992° = 59°44'43″ = 2.09988419814 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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