10 19 19 triangle

Acute isosceles triangle.

Sides: a = 10   b = 19   c = 19

Area: T = 91.65215138991
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 30.51550465809° = 30°30'54″ = 0.53325880342 rad
Angle ∠ B = β = 74.74224767095° = 74°44'33″ = 1.30545023097 rad
Angle ∠ C = γ = 74.74224767095° = 74°44'33″ = 1.30545023097 rad

Height: ha = 18.33303027798
Height: hb = 9.64875277789
Height: hc = 9.64875277789

Median: ma = 18.33303027798
Median: mb = 11.84327192823
Median: mc = 11.84327192823

Inradius: r = 3.81988130791
Circumradius: R = 9.84770822969

Vertex coordinates: A[19; 0] B[0; 0] C[2.63215789474; 9.64875277789]
Centroid: CG[7.21105263158; 3.2165842593]
Coordinates of the circumscribed circle: U[9.5; 2.59113374466]
Coordinates of the inscribed circle: I[5; 3.81988130791]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.4854953419° = 149°29'6″ = 0.53325880342 rad
∠ B' = β' = 105.258752329° = 105°15'27″ = 1.30545023097 rad
∠ C' = γ' = 105.258752329° = 105°15'27″ = 1.30545023097 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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